OK I just want to clarify something so people don't think I'm a tard when it comes to monitors. This is an LCD monitor, the power supply board has been removed from the actual monitor, there is no charge left in the thing currently (haha, bad pun, charge, current... anyway). Also, I have in the past worked on giant CRT arcade monitors, which have insane amounts of voltage. So yes, I know the dangers of monitors, and I know how to prevent fatality

However, I haven't done a lot of soldering and have never soldered a wire trace. I would assume, connecting two connections on the same trace on the board would be fine, but that is why I asked the questions that I've asked. So, again, just to clarify, this is an LCD power-supply board that has been completely removed from the unit. There is no charge and it's most certainly not plugged in and hasn't been for a few weeks

So I'll re-state my question, how would I be able to tell what gauge wire I should be using when connecting to points together on a trace.