I wouldn't go through all the misery of trying to resolder the connector back on, just run a couple wires from the right fan to to the left one,just make sure the sequence is the same, install smc fan control and set your right fan to highest setting, so you will get the max amperage to both fans, and be certin both wire guages match, good luck
consider removing clutch plate before heating, it will melt if your not careful