most wires that go to the back are concerned with taillights and such. You can look at the back of the tail lights to see what colors are there, also, if you have a hitch, look for the colors there. If there are NO large wires, you should be good to go. If you have electric stabilizers, there will be two or three wires that go to that. If you have power awnings or electric slides (no pun), they will be 12v but slightly larger to handle the power.
So sorry to hear about your tire misfortune. Those of us that have been on this site for long (except one) feel that the tires that come with the RV are JUNK...Hope you got something that was good for a replacement.
Frank