None of the studios have a washer and dryer in the villa. Depending on the resort, they may be located at the pool or in a single room on a single floor in the single building.
OKW does have a laundry center next to the snack stand at the turtle pond pool complex and I believe there is another up by the Community Hall - not real sure of that one.
There are washers and dryers in laundry rooms of all 4 of the OKW pools. They look like coin op ones, but you don't need coins....just push the slider in, and they start.