1.) Take the good end of the existing wire and strip it.

2.) The interior wire, which is coated in white should be soldered on a square metal plate about one eighth inch square. This plate is opposite a small chip for reference.

3.) The braided wire coats the white interior wire, and is wrapped around it in two different directions. This wire should be peeled off and then twisted together.

4.) Then solder it in place opposite the chip and the other wire.