Heating up the soldering iron properly, place the wick against the solder bulbs and heat the solder until the solder wick sucks up the solder.

Be careful to not leave the soldering iron on the board too long as you may remove the copper leads or damage the motherboard.

Solder the new battery's leads to the motherboard by taking the heated iron and heating the exposed wires of the leads and placing the solder in contact with the leads so the solder heats up and flows onto the leads.

Pull away the heat immediately once the solder has flowed and let the board cool to avoid damage to the board (or burns on your hand).