Heat the soldering iron to middle high heat.

The soldering iron can burn when heated. Use caution when using. For more information on using a soldering iron, take a look at How to Solder and Desolder Connections

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.

Repeat on the 3 other solder joints for the LED.

Remove the LED with tweezers.