I have been reading "https://68kmla.org/files/classicmac2.pdf" and it's very helpful, but I've run into a snag. My 128k -> 512e has orange double-sided adhesive pads that hold the white, plastic static card to the analog board. I'm trying to re-solder the 4 J1 solder joints, but this adhesive, which is very strong and been there since 1984, is situated right on the 4 joints for J1. Is there a preferred way to remove it from the board?

If I gently peel the adhesive away from the board, it will leave deposits on the joints. What can I clean this stuff off with?

FYI, I have a functioning SE to use for parts if necessary.