After that, take out your trusty soldering iron I showed you guys how to use, like, 1,000 years ago. Wrap the new wire around the exposed section of old wire and solder it in. I usually wrap it with just electrical tape because I am cheap. However, some self-curing silicone tape, such as Rescue Tape (rescuetape.com) makes for a better and more weather tight seal. The problem is you can’t use marine heat shrink and if you cut the original wire, the connection is more likely to fail with the vibrations your Jeep sees.