Used Lima 400 L for sale (73,822)

Condition: used, mileage: 751,000 km, power: 309 kW (420.12 HP), first registration: 06/2017, fuel type: diesel, overall weight: 18,000 kg, axle configuration: 2 axles, next inspection (TÜV): 01/2027, brakes: retarder, color: grey, gearing type: automatic, emission class: euro6, total width: 2,550 mm, total height: 3,850 mm, loading space width: 2,500 mm, loading space height: 1,000 mm, Equipment: ABS, air conditioning, electronic stability program (ESP), parking heater, * MAN 18.400 TGX, registration date: [year] – mileage: 0,000 km – Euro 6 – air conditioning – auxiliary heater – trailer coupling, 50 mm pin, deep-set * Overall length: 9,850 mm – width: 2,550 mm – height: 4,000 mm – permissible total weight: 18,000 kg * German vehicle – German vehicle registration document – available immediately * Please arrange an appointment for a viewing Hodpszh S U Tofx Aamsnr * Contact: Mr. Andreas Vogel * The information provided on the internet is a non-binding description. * It does not constitute a guarantee of characteristics. * The seller is not liable for typing or data transmission errors. * Subject to changes, errors and prior sale.

Condition: excellent (used), For sale: Bernardo KFM 500 M edge chamfering machine, designed for precise chamfering and deburring of parts made of steel, stainless steel, aluminum, and other metals. This machine is ideal for preparing parts for welding, removing sharp edges, and creating even chamfers. Its robust construction and adjustable chamfering angle ensure accurate and repeatable machining. The machine is sold with the operating manual and a set of cutting blades, as shown in the pictures. Technical data: Manufacturer: Bernardo Country of manufacture: Austria Model: KFM 500 M Year of manufacture: 07/2019 Hnedpeziww Njfx Aamer Machine number: PWA-190707 Type: edge chamfering machine Motor power: 0.55 kW Power supply: 400 V Frequency: 50 Hz Rated current: 1.48 A Recommended protection: C16 Weight: 33 kg Application: The device is designed for: chamfering edges, deburring parts, preparing material for welding, machining steel, stainless steel, and aluminum, creating precise chamfers for welds. Included: Bernardo KFM 500 M chamfering machine, operating manual, set of cutting blades (shown in the pictures), other items shown in the pictures. Condition: The device is used and in good visual condition. Normal signs of wear and tear are visible, consistent with its use. The machine is sold exactly as it is and with all the components shown in the pictures.

Condition: excellent (used), functionality: fully functional, Year of construction: 2007, machine/vehicle number: ROD39, 1 Demag KBK I wall-mounted slewing crane, 400 kg payload / lifting capacity Jib length 2 m, 400 kg payload Equipped with Demag DC chain hoist, 400 kg capacity Weight including wall bracket approx. 200 kg Complete with chain hoist, cable carrier, trolley, and small parts Slewing range 270° Hnjdpfoxmuumsx Aamsr Item location: 75053 Gondelsheim System is fully disassembled and immediately available Shipping by freight forwarder or collection Please enquire for shipping costs by postal code

Condition: used, mileage: 14,512 km, power: 250 kW (339.91 HP), first registration: 11/2015, fuel type: diesel, overall weight: 17,500 kg, axle configuration: 2 axles, brakes: retarder, color: orange, gearing type: automatic, emission class: euro5, total length: 7,260 mm, total width: 2,500 mm, total height: 3,260 mm, Year of construction: 2015, Equipment: ABS, air conditioning, all wheel drive, compressor, electronic stability program (ESP), had accident, soot filter, MAN TGM 18.340 4x4 automatic, 250 kW/340 hp, with selectable all-wheel drive and locking differentials in the front and rear axles - GIMAEX TLF 4000 fire engine. Chassis equipment: * R134A air conditioning with automatic temperature control * Single tires 395/85 R 20 on split-rim wheel 10.00 x 20 * 4x4 all-wheel drive - front axle selectable * Differential lock in the front axle with buzzer * Differential lock in the rear axle * Wading depth up to 650 mm * Wheelbase 3600 mm * Rear overhang 1775 mm * 12-speed automatic transmission ZF 12 AS 1210 OD MAN TipMatic (ZF 5 HP 592C i=3.43-0.83) with retarder * Auxiliary drive with flange on the right * Transmission software for off-road use (Tipmatic OFFROAD) * Suspension: leaf spring/leaf spring * Permissible total weight 18 t, rear suspension: parabolic spring 11.5 t * Hydraulic power steering * Axle ratio i=6.00 * Oil pan for climbing ability up to 30% * Comfort electrical package for the cab * Painted front bumper * Engine brake with additional actuation via the brake pedal * Rear crossmember for trailer coupling * Quick start system for special vehicles * Multifunction display in the cab * Cab rear wall without window * Heated and electrically adjustable rearview mirrors * Wide-angle mirrors on the left and right, heated and electrically adjustable * Curb mirror on the right, heated and electrically adjustable * Blind spot camera on the right * Additional long-range and fog lights * MAN CD 24V radio * MAN Tronic * Cruise control * Electrically operated door window lifts for driver and passenger * Central locking * Passenger comfort seat for 2 people (individual seats) * Driver comfort seat with air suspension, lumbar support, shoulder adjustment, and heating * ABS * Drum brakes front and rear * Parking brake on the front axle * MAN BrakeMatic * Steering wheel adjustable in height and inclination Superstructure: * GIMAEX TLF 4000 * Superstructure: modular "AluPrime" construction with roller shutter system, divided into a front equipment compartment module, a water/foam agent tank, and a rear pump module Hedpozgp H Dofx Aamjnr * Fire extinguishing agent supply: * 5000 liters of water * 200 liters of Class A foam * 300 liters of Class B foam * Firefighting equipment: One Seven System: OS C3-111 * Roof monitor: Rockett GF 5 RF mounted on ALCO extension * Built-in pump: Gimaex FPN 10-2000 EN 1028-1 * Operation via CAN bus control * Quick-attack hose reel: S25/50m Ready-to-use vehicle with accident damage, see pictures, cab only slightly damaged on the roof (roof panel is screwed on and can be replaced), engine/axles/transmission not damaged, vehicle starts and runs normally! Fixed price! Errors and changes excepted!

Condition: new, For sale: Professional power controller (thyristor-based) Advanced Energy Thyro-A series. The device is NEW – never used (warehouse stock). High-end industrial equipment designed for advanced production installations. 🔧 Technical specifications: Manufacturer: Advanced Energy Model: Thyro-A 3A 400-350 HF RL3 Voltage: 400 V Current: 350 A Output: Relay Out 4A / 250V Type: thyristor power controller (SCR) ⚙️ Applications: industrial furnaces heating systems industrial automation power control in production lines 📦 Included in the set: 3x Thyro-A modules industrial enclosure / heat sink cooling fan full set as shown in photos ✅ Condition: Hnsdpfxsyw T Ipo Aamer NEW – unused May show minimal signs of storage. Fully functional.

Condition: new, New motor from renowned German manufacturer Baumüller Nürnberg. The motor is unused, warehouse stock (old stock). No signs of operation. Technical data – from nameplate: • Manufacturer: Baumüller Nürnberg GmbH • Type: GNA 132 MV • Supply voltage: 400 V • Current: 39 A • Power: 12 kW • Rotational speed: 1260–4000 rpm • Excitation voltage: 310–365 V • Excitation current: 0.17–0.38 A • Insulation class: F • Protection class: IP23 Hnsdpfxsyga Ugj Aamsr • Standard: VDE 0530 • Serial number: 88104349 The motor is intended for automation, CNC, special machine applications, and as a spare part for existing Baumüller drive systems. Price quoted per unit.

Condition: excellent (used), Device for precise setting, measurement, and inspection of CNC cutting tools. Equipped with an EZset optical camera system and EZvision (Image Controller 1) software. Condition: very good, complete, ready for operation. Technical data and features: • Model: PRECIsset 400 • Measurement system manufacturer: EZset GmbH & Co. KG, Germany • Control screen: Image Controller 1 • Software: EZvision • Documentation version: 1.1.1 (18.08.2006) • Measuring range X / Z axes: up to 400 mm • Camera with image processing system • Edge, length, and tool diameter measurement function • Results can be saved and printed • USB and RS ports • Power supply: 12 V DC, 40 VA • Year of manufacture: approx. 2018–2019 • Supplied with original PRECITOOL technical documentation Condition: • Used, fully functional • Screen operates correctly Hedexn Awxepfx Aamonr • Longitudinal/Transverse axes reference correctly • Well-maintained unit from a German tool shop Functional description: The PRECIsset 400 enables fast and repeatable tool setup prior to CNC machining. The EZset vision system allows for blade geometry analysis and tool wear inspection. High measurement accuracy ensured by a stable column and industrial-grade optics.

Condition: used, mileage: 227,566 km, power: 130 kW (176.75 HP), first registration: 05/2012, fuel type: diesel, empty load weight: 6,390 kg, maximum load weight: 6,110 kg, overall weight: 12,500 kg, axle configuration: 4x4, wheelbase: 3,050 mm, fuel: diesel, driver cabin: other, gearing type: other, emission class: euro5, suspension: other, number of seats: 2, total length: 5,100 mm, loading space length: 2,650 mm, loading space width: 2,000 mm, loading space height: 4,000 mm, Year of construction: 2012, operating hours: 16,641 h, construction height: 3,360 mm, Equipment: air conditioning, all wheel drive, hydraulics, onboard computer, trailer coupling, The Unimog U400 405/12 impresses with its versatility and robustness and is ideal for use in agriculture and construction. Powered by a powerful 4,249 cc diesel engine with 177 hp and the Euro 5 emissions class, it meets modern environmental standards. With a total mileage of 227,566 km and 16,641 operating hours, it is in good shape. The Unimog has a trailer hitch, air conditioning, a front PTO and municipal hydraulics, which support flexible attachment options. The vehicle was built in 2012 and has only been used by one owner before. With its compact dimensions - 3,360 mm in height, 2,360 mm in width and 5,100 mm in length - it still offers an impressive payload with a permissible total weight of 12,500 kg. The Unimog has a green environmental sticker, which allows it to be used in urban emission zones. Operating hours: 16,641 hours Only sold to businesses (agriculture, freelancers, small and large businesses) or for export. Subject to errors and prior sale. Hjdper Uzthjfx Aamenr

Condition: good (used), We are offering for sale a used shelf connector from the manufacturer Mecalux. Technical data for the shelf connector: Manufacturer: Mecalux The scope of delivery includes: 01x Shelf connector, used Material color: Sendzimir galvanized Shelf spacing: approx. 400 mm Profile height: approx. 80 mm Weight/piece: approx. 0.704 kg/piece Hedod Ttzhspfx Aamjnr 04x Hex head screws, M8 x 20 8.8 04x Hex nuts, M8 04x Washers, M8

Condition: good (used), Technical data for the shelving unit: Shelving system: SSI Schäfer Type: R 3000 Technical data for installation: Number of rows of shelves: 01 pcs. Shelf length: 1,056 mm Number of fields per row of shelves: 01 pcs. The scope of delivery includes: 02x shelf stands, used Material color: sendzimir galvanized Frame profile dimensions: 31 x 60 mm incl. bulkheads and base plates The stands are pre-assembled 2,278 mm high 400 mm deep 02x shelf, used Designation: ZB 4423 V Material color: sendzimir galvanized Dimensions: 994 x 400 x 30 mm Weight | piece: approx. 4.65 kg max. load per shelf 200 kg with uniform distributed load 01x base panel, used for floor length: 994 mm Material color: sendzimir galvanized Dimensions: C 28 x 22 x 8 x 0.6 mm Weight | Piece: approx. 0.51 kg 05x shelf traverse, 2nd choice (new goods) Material color: sendzimir galvanized Z-profile: 60 x 40 x 12 mm clear width: approx. 994 mm Hole grid: approx. 53 mm Agraffe: 3 HK (hooks) Weight | Piece: approx. 1.70 kg 15x compartment dividers, second choice (new goods) Material color: galvanized Hnedpjvmp I Sefx Aamsr Type: APH 340 Total length: approx. 340 mm Usable length: approx. 315 mm Total width: approx. 100 mm Pipe diameter: approx. 12 mm Weight / piece: approx. 0.170 kg 01x cross brace, used Designation: KV31013 Material color: sendzimir galvanized Your contact person in our company: Mr.: Andre Evering Mr.: Mario Klöver Mr.: Falk Deutsch General information about the article: This article is only available for collection. Any additional transport or shipping of this article is associated with additional costs, which can be requested separately from us depending on the delivery location or scope of delivery.

Condition: good (used), The scope of delivery includes: 01x U- collision protection, used material color: yellow total height: approx. 400 mm profile dim. outside: U: approx. 100 x 50 mm profile dim. outside: U: approx. 80 x 40 mm material thickness: approx. 6,00 mm Hodpfx Ajn R Edmjamsnr base plate dim.: approx. 200 x 100 mm Drill hole Ø: approx. 12 mm Number of drill holes: 04 pcs. Your contact person in our company: Mr.: Andre Evering Mr.: Mario Klöver Mr.: Falk Deutsch General information about the item: This article is offered for pickup only. A desired transport or a shipment of this article is associated with additional costs, which can be requested separately depending on the delivery location or scope of delivery with us.

Condition: good (used), Technical data for the shelf connector: Shelf system: Nedcon Type: NS The scope of delivery includes: Hnedpfxjir U N So Aamsr 01x Shelf connector, used Material color: cream white Overall length: approx. 400 mm Head plates: approx. 140 x 95 x 2.5 mm Hole diameter: approx. 12 mm Profile dimensions: approx. 70 x 70 mm Weight/piece: approx. 2.78 kg

Condition: good (used), Technical data for the shelving unit: Shelving system: SSI Schäfer Type: R 3000 Technical data for installation: Number of rows of shelves: 01 pcs. Shelf length: 1,056 mm Number of fields per row of shelves: 01 pcs. The scope of delivery includes: 02x shelf stands, used Material color: sendzimir galvanized Frame profile dimensions: 31 x 60 mm Incl. bulkheads and base plates The stands are pre-assembled 2,494 mm high 400 mm deep 02x shelf, used Designation: ZB 4423 V Material color: sendzimir galvanized Hnsdpfx Ajvmxuheamor Dimensions: 994 x 400 x 30 mm Weight | piece: approx. 4.65 kg Max. load per shelf 200 kg with uniform distributed load 01x base panel, used for floor length: 994 mm Material color: sendzimir galvanized Dimensions: C 28 x 22 x 8 x 0.6 mm Weight | Piece: approx. 0.51 kg 05x shelf traverse, 2nd choice (new goods) Material color: sendzimir galvanized Z-profile: 60 x 40 x 12 mm clear width: approx. 994 mm Hole grid: approx. 53 mm Agraffe: 3 HK (hooks) Weight | Piece: approx. 1.70 kg 15x compartment dividers, second choice (new goods) Material color: galvanized Type: APH 340 Total length: approx. 340 mm Usable length: approx. 315 mm Total width: approx. 100 mm Pipe diameter: approx. 12 mm Weight / piece: approx. 0.170 kg 01x cross brace, used Designation: KV31013 Material color: sendzimir galvanized Your contact person in our company: Mr.: Andre Evering Mr.: Mario Klöver Mr.: Falk Deutsch General information about the article: This article is only available for collection. Any additional transport or shipping of this item will incur additional costs, which can be requested separately from us depending on the delivery location or scope of delivery.

Condition: good (used), The scope of delivery includes: 01x U-approach corner, used material color: yellow total height: approx. 400 mm profile dim. outside: U: approx. 50 x 50 mm profile dim. outside: U: approx. 40 x 40 mm material thickness: approx. 5,00 mm base plate dim.: approx. 300 x 100 mm Drill hole Ø: approx. 12 mm Number of drill holes: 06 pcs. Your contact person in our company: Hnsdpfx Aaon R Egzomsr Mr.: Andre Evering Mr.: Mario Klöver Mr.: Falk Deutsch General information about the item: This article is offered for pickup only. A desired transport or a shipment of this article is associated with additional costs, which can be requested separately depending on the delivery location or scope of delivery with us.

Condition: new, Year of construction: 2025, functionality: fully functional, load capacity: 4,000 kg, table load: 4,000 kg, faceplate diameter: 1,000 mm, 3-axis turning and tilting positioner with 4-ton load capacity Clamping plate 1000 mm Extension arm/radius 2000 mm (better price at 1500 mm) Height adjustment min. 1250 mm – max. 2000 mm Table rotation speed 0.05 – 0.5 rpm Hydraulic lifting speed 1000 mm/min Hedpfx Aaowwinremsnr Rotation range 360° Tilting range ±360° Handheld remote control (foot control available upon request) Special equipment possible

Condition: excellent (used), Year of construction: 2008, functionality: fully functional, WE OFFER AN NICE CONDITION SAW PEGAS AND GONDA HERKULES X-CNC 350X 400 with rollers and many new reserve blades MACHINE WAS USING IN FURNITURE PRODUCTION FOR CUTTING METAL TUBES FOR CHAIRS AND OTHER FURNITURE WITH MACHINE INCLUDED A LOT SPARE BLADES, RAILS CONVEYOR FOR WASTE WHEN MACHINE CLEANED WILL LOOKS AS NEW. WE CAN ORGANIZE FOR CUSTMER ALSO TRANSPORT WOLDWIDE Hedpfx Aaovznkbjmonr

Condition: excellent (used), Year of construction: 2021, We offer the ETL Prüftechnik ATS 400 X8 automatic test system, designed for electrical and safety testing of products in industrial and laboratory environments. The device is used for, among others: • Quality control (QC) • End-of-line production testing • OEM laboratories and testing stations ⸻ Basic data • Model: ATS 400 X8 • Power supply: 230 V / 50–60 Hz / max. 10 A • Year of manufacture: 03/2021 • Manufacturer: ETL Prüftechnik GmbH (Germany) • Condition: very good, well-maintained equipment • Last factory calibration by ETL: 05/2023 Hsdpfxoyc H N Nj Aamsnr • Weight: 38 kg ⸻ Equipment / Included in delivery • Main ATS 400 X8 unit with integrated touchscreen display • Windows 10 Pro operating system (OEM) • Complete set of test leads and accessories (as shown in the photos) • Manufacturer’s documentation • Original markings, nameplates, CE certification ⸻ Technical notes • This is a professional test and measurement instrument, not consumer electronics • The equipment is ready for use in a production environment • No signs of tampering; all connectors and interfaces are complete

Condition: new, For sale: New Siemens electric motor Motor unused, warehouse condition No signs of use, fully operational, ready for work Technical data: Manufacturer: Siemens Model: 1LE16032AA434AB4 Z Power: 30 kW Rotational speed: approx. 2955 rpm Hsdsyv Inujpfx Aamsnr Voltage: 400/690 V Frequency: 50 Hz Protection class: IP55 Energy efficiency class: IE3 Mechanical size: 200L Mounting type: B3 Robust industrial construction Ideal for industrial machinery, pumps, fans, and drive systems

Condition: excellent (used), For sale: Industrial electric motor by renowned manufacturer KSB Aktiengesellschaft. The motor is in good technical condition and fully operational. It features a robust construction and is designed for demanding industrial applications. Technical specifications: Manufacturer: KSB Type: 1LA7163-4AA66-ZX77 Power: 11 kW Supply: 3~ 400/690 V Frequency: 50 / 60 Hz Speed: 1460 rpm (50 Hz) Protection class: IP55 Insulation class: F Mounting: IM B35 (flange + feet) Cos φ: approx. 0.84 Hnodpfx Ajyvi Hfeamjr Weight: approx. 85 kg Condition: Used Fully functional Normal signs of use (visible in the photos) Good condition

Condition: like new (used), Year of construction: 2023, Tindo Cooking Kettle 400L Hnjdpfxst Tx Dle Aamsr Year 2023 Capacity 400 Ltr Fully stainless steel Tipping facility Terminal fluid jacketed vessel Variable speed mixing control Vertical lift on head As new condition Only used for product testing

Condition: new, max. width of grinding wheel 145 mm diameter / bore of grinding wheel 300 mm Flange taper Reishauer 0 grinding wheel size 300x145x160 mm Beam flange (machine type Reishauer RZ 400/800/1000) + including grinding disc T1SP 300x145x160 M 2,5 EW20° 3GG Cubitron from the company 3M Ceramic grinding discs for tooth flank grinding - 145 mm wide Dimensions according to machine type Reishauer Hodpfx Ajuayy Toamonr Profiling according to specification module m, running speed gg, pressure angle EW Advantages: - Grinding burn risk is close to zero - Up to 50% shorter sanding times - 2-fold reduction in dressing effort - Twice the service life of grinding discs - Continuous, consistent sanding performance - Significantly higher sanding parameters than with standard tools

Condition: new, max. width of grinding wheel 145 mm diameter / bore of grinding wheel 300 mm Flange taper Reishauer 0 grinding wheel size 300x145x160 mm Beam flange (machine type Reishauer RZ 400/800/1000) + including grinding disc T1SP 300x145x160 M 1,5 EW20° 3GG from the company 3M Ceramic grinding discs for tooth flank grinding - 145 mm wide Dimensions according to machine type Reishauer Profiling according to specification module m, running speed gg, pressure angle EW Hodpfx Aaouayy Hemonr Advantages: - Grinding burn risk is close to zero - Up to 50% shorter sanding times - 2-fold reduction in dressing effort - Twice the service life of grinding discs - Continuous, consistent sanding performance - Significantly higher sanding parameters than with standard tools

Condition: new, max. width of grinding wheel 145 mm diameter / bore of grinding wheel 300 mm Flange taper Reishauer 0 grinding wheel size 300x145x160 mm Beam flange (machine type Reishauer RZ 400/800/1000) + including grinding disc T1SP 300x145x160 M 2,25 EW20° 3GG from the company 3M Ceramic grinding discs for tooth flank grinding - 145 mm wide Dimensions according to machine type Reishauer Hodpfxjuayyye Aamonr Profiling according to specification module m, running speed gg, pressure angle EW Advantages: - Grinding burn risk is close to zero - Up to 50% shorter sanding times - 2-fold reduction in dressing effort - Twice the service life of grinding discs - Continuous, consistent sanding performance - Significantly higher sanding parameters than with standard tools

Condition: new, max. width of grinding wheel 145 mm diameter / bore of grinding wheel 300 mm Flange taper Reishauer 0 grinding wheel size 300x145x160 mm Beam flange (machine type Reishauer RZ 400/800/1000) + including grinding disc Hnjdpjuayymefx Aamsr T1SP 300x145x160 M1 EW20° 2GG from the company 3M Ceramic grinding discs for tooth flank grinding - 145 mm wide Dimensions according to machine type Reishauer Profiling according to specification module m, running speed gg, pressure angle EW Advantages: - Grinding burn risk is close to zero - Up to 50% shorter sanding times - 2-fold reduction in dressing effort - Twice the service life of grinding discs - Continuous, consistent sanding performance - Significantly higher sanding parameters than with standard tools

Condition: used, We are offering used shelving units for sale. TECHNICAL DATA Manufacturer: FX Rauscher Model: P30 Condition: used Frame height: approx. 2,500 mm Hnjdey Hqt Iopfx Aamjr Shelf dimensions: 1,220 x 400 x 33 mm Shelf load capacity: 100 kg Number of levels: 6 Boltless assembly Usage: single-sided Material: galvanized steel PRICE €1,216.25 net (5 starter bays + 20 add-on bays) €1,447.34 gross incl. VAT Tiered pricing Starter bays: 1 - 5 units: €70.00 net 6 - 20 units: €66.63 net 21 - 50 units: €63.25 net from 51 units: €59.88 net Add-on bays: 1 - 5 units: €50.00 net 6 - 20 units: €47.50 net 21 - 50 units: €45.00 net from 51 units: €42.50 net Large quantities available directly from stock. YOUR CONTACT PERSONS AT OUR COMPANY: Oliver Kopp Rainer Nürenberg Tanja Henkelmann TRANSPORT & ASSEMBLY We are happy to assist you with transport and assembly of the goods. This item is available for collection. Delivery or shipping is available at an additional charge, depending on the destination and the size of the shipment. Please contact us for a customized quote. PROJECT PLANNING Our sales team will be happy to prepare a non-binding offer tailored to your requirements. TRANSPORT & ASSEMBLY We are happy to assist you with transport and assembly of the goods. PAYMENT TERMS Payment terms will be agreed upon in case of an order. The price is the unit/net price unless otherwise stated in the description (plus VAT). Of course, you will receive an invoice showing VAT separately. ABOUT US DLK, based in Nordhorn, deals in new and used products in the fields of warehouse logistics, conveyor technology, mezzanines, textile storage systems, as well as machinery for commerce, industry, and trades. We continuously offer attractive second-hand equipment from various manufacturers and brands at competitive conditions. If you have any questions, please feel free to contact us. ‘Four wins’—the four success factors from DLK: Storage Technology | Levelmaker® | Logistics | Solutions