Figured this out myself, and decided to take some pics so those who come up with the same problem might more easily fix it themselves as well.
First step, remove the trunk mat. I've got a '96 LS, and found out I was targeting the area in the first pic.
Second step, lift the covering carefully. There's a peg in the middle of the edge keeping it in place. Gently lift there (2nd pic)
Third step, you should see the wiring you need to deal with. Looks something like the third pic. If you don't see it, check the other side of the trunk.
Fourth step, disconnect the two white plugs. In the fourth pic, I've already finished. All you've got to do is simply disconnect them and reconnect them to the mating end of the OTHER plugs to complete the process.