LOL, if I were a master at soldering, I would have never screwed this up in the first place!
I don't have any pictures of it yet, and it's not that impressive looking, tbh.
I took a knife, and scraped the plastic coating off of the trace that connects to the pad. It's a pretty wide trace (probably 1mm?) Then I bent the trace up a little bit so that I could get to the copper part of it underneath. With it sticking up, I put a drop of flux on it, and on my pre-tinned wire. Held the wire to it, and quickly touched the tip of my soldering iron onto the connection point. I made sure to have the headphones plugged in at this point so I could tell in real time if there was an electrical connection. It took maybe 2 or 3 tries to get it to solder strong enough that I could give it a tiny tug and it wouldn't come off. Then I laid the wire down against the orange/brown plastic and taped it down with a bit of painter's tape. Double checked that it was still playing, then I poured a blob of krazy glue over the wire and let it sit for the night until the krazy glue was completely hardened. Checked it this morning, it was still working and the krazy glue was hard, so I re-assembled everything