Make sure to preheat your soldering iron fully before continuing as a not properly heated iron my cause more damage to the board and connections.

Once your iron is fully heated you can press it to the connections on the bottom of the motherboard to melt the existing solder. A solid press for around 2-3 seconds should fully melt the solder.

It is not recommended to touch the board or capacitor with your hands as it will likely be very hot after being heated.

Once the solder on the bottom is fully melted, you may try and remove the capacitor from the top of the board. You may have to heat it more than once to fully remove the damaged capacitor, but this will not harm the board in any way.