Before you remove the motor try running a jumper from the battery to one of the terminals at the lower left in the picture and another jumper from ground to the other terminal then switch the jumpers to the opposit terminals. If the motor works then the wires at the door hinges are probably bad. If the motor still does not work the remove the three brass colored nuts that you can see in the picture and the window motor and frame will drop down. If you remove the motor hold up the assembly or it will just drop.
I just noticed that you can't see the third nut in the picture but it is above the V shapped piece.
Also look at this posting, I put in a picture of a window motor that I had disassembled.
http://www.peachparts.com/shopforum/showthread.php?t=246456