Is there a tutorial with pictures? Thanks in advance.

There are heaps of ways. I used maf cleaner then break cleaner with a soft toothbrush. Came up a treat.

Otherwise buy a new one from idparts. Super cheap at 24 usd

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2006 CRD Jeep Liberty / Cherokee - Weeks Stage 1 & 2, GDE Eco Tune, Carter In-Tank Fuel Pump & Provent 200.

i use gasoline or diesel, but i refrain to use a tooth brush as it seems to me too hard for the very fragile sensor. Instead i use a soft paint brush.

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Silver CRD
ASFIR skid front & central elements, MOPAR gas tank skid - SAMCO Turbo hoses - 4 breathers extension
2006 gaser airbox - Frankenlift with Koni at front.
Airtex lift pump

Use Mass Air Flow Sensor Cleaner, it is sensor safe. Use a toothpick to remove any large or stubborn pieces of gunk. Just be mindful of the little temperature sensor bulb sticking out and do not damage it, otherwise you will be buying a new MAP sensor.
An alternate replacement MAP sensor is, GM part 55206797, Google it...
I keep a spare just in case, since they are so cheap.
Note: Since I removed the EGR & FCV systems; my MAP stays super clean and never needs cleaning anymore...

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Supporting Vendor and Moderator of LOST
05 Jeep Liberty CRD Limited
Ironman Springs/Bilstein/Shocks
Yeti StgIV Hot Tune
Week's BatteryTray
No FCV/EGR
Samcos/ProVent
SunCoast/Transgo
Carter Intank-pmp
2mic.Sec.Fuel Filter
Flowmaster/NO CAT
V6Airbox/noVH
GM11 Bld.fan/HDClutch
IronrockArms/wwdieselMount
98 Dodge Cummins 24 Valve

SirSam's NOOB guide (viewtopic.php?f=5&t=54207) has some decent images of the MAP location and a link to cleaning but the images on Darby's cleaning link don't work.

It's pretty simple:
1. you need a 4mm allen key for the MAP hold down bolt.
2. lift the wiring harness out of the way, you may have to undo the odd nuts that hold the plastic harness cover down
3. undo the MAP hold down bolt - NOTE there is a tiny spring washer on that bolt that's easy to lose; try not to lose it but don't panic if you do as it's not critical.
4. lift the MAP up and disconnect wiring plug.
5. clean with any decent spray cleaner (I've used regular carb cleaner) but be careful as the crud you are removing from the MAP sensor is NASTY and will permanently stain any clothes it comes in contact with.
6. reinstall is the reverse - I'd recommend a drop of regular oil on the "O" ring to make it go in easily and a slight twisting motion as you push the MAP back into it's seat. Hold down bolt gets tightened just lightly snug.

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Sold to LOST member my 05 Ltd, GDE Stg II turbo + TCM tune, SunCoast TC w. Transgo kit, Steiger window regulators, Samcos, Fumoto valve, 2nd gen filter head with Lub. Spec. bleeder, Hayden clutch & 11 blade fan, inverted spare, P-1 battery, BF Goodrich Long Trail TAs, Etecno1 glow plugs, timing belt at 50K miles/8 yrs

Non chlorinated brake cleaner is also good.

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2005 kj CRD, samco, suncoast tc, provent, Kennedy lift pump, GDE ECO full torque, 2nd gen filter head, 245/70/16 a/t tires, mopar light bar, fumoto oil valve, OEM Skid Plates, ARB Front bumper and HD OME, tru cool LPD47391 40k GVW tranny cooler (stock cooler delete), FF Dynamics e-fan and shroud, rocker arms replaced, HDS2 190F thermostat.