Heat the soldering iron to middle high heat.

Inject a small amount of flux onto the LED solder connection you wish to replace.

Place the solder wick on top of the solder joint.

Press the soldering iron on top of the solder wick on top of the solder joint, and press until you see the solder come through the wick.

Once you see the solder through the wick (it should look silver and not copper colored) pull the wick off the solder joint and remove the soldering iron.

Remove the LED with tweezers.