As you can see the solder around the base of the socket was already melted due to when I smoked the motor, it got so hot you couldn’t touch the can and the label started to shrink, in a way it was very easy to solder I only used a very cheap 20watt ion BUT and a big BUT I use to service audio and visual equipment for years so I do have experience in soldering, I cleaned the inside of the socket because it was tarnished from the heat damage when it blew up and I applied some of my flux I used for service and tinned the socket, twisted the wire and inserted the wire while the socket was heated with the ion I applied flux and more solder.
It did a nice job I have tested the connection with my service meter and found no noticeable change in impedance the only thing I haven’t tested is the impedance under a massive current draw because the motor winds are burnt lol :035:
Don’t worry about that brown muck it just the excess flux.
Hope this helps