I had a PM asking for some more soldering details, so I thought I would tack them on here.
Soldering well takes some skill, so it is good to practice a little. Here are a few tips:
The basic idea is to get the wire hot enough to melt the solder, not vice-versa. Use a 50 watt soldering iron max. A soldering gun can be used if you are practiced, but it is pretty difficult for a new person to master.
Place something heat-proof under your work, you will drip molten solder on it, and the flux splatters. Use some safety glasses. Nothing like a little spec of boiling flux in your eye to ruin your night.
Use flux, it makes a world of difference. Don't use acid-core flux, that is for plumbing copper pipe. Use electronic flux, as well as solder designed for electronics. Radio Shack or similar carries it, as do most Home Depot type stores.
Twist any loose strands at the end of the wire together first. Dip the exposed wire in the flux before starting.
Apply heat(iron) to the wire on one side, and touch the solder to the other side. When the solder gets hot enough to melt, it will flow in-between the strands of the wire. Remove the heat when the solder flows in. With a hot iron, this step should take no more than 3 seconds.
Check the wire, if there is not solder all around it, try again. Let the wire cool in-between steps or you risk melting the insulation off of it.
When you have the wires all tinned, it gets easier. Put on the heat shrink pieces if you have them now, before you continue. Slide them back out of the way, or the heat from the iron will shrink them before you are ready.
Use a clamp to hold one wire steady, and align the other wire parallel to it and just overlapping the tinned areas. Touch the soldering iron to both wires simultaneously, and remove it in a second or two. The existing solder on the iron and wires will melt and fuse together. Allow to solidify for a few seconds and you are done.
Good soldering skills takes practice. If you know anyone with such skills, get them to show you a few tricks. It can make a world of difference.
HTH-
Zeph