Hey, you're halfway home. Haven't got Ratso's boarding pass yet, so this is encouraging.

A soldering gun will work, but they are usually 100 watts or so- a bit big for the small task of sticking a couple wires together. Work quickly with a gun- to avoid overheating the work and melting insulation. Heat the work for no more than a couple of seconds, touch solder to the hot wires and gun tip until the solder flows, remove heat, don't disturb until solder is cool & solidified. If you can't work fast, use a 15-25 watt soldering iron.

Ratso is a slut for the nuts. If you have cashews, he might never leave.