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This is the tricky part. You should probably use a small pinching clip to hold the sim reader in place, and if you haven't got much experience with micro soldering, I strongly advice using two hands to steady your iron.
Apply a small amount of flux onto the legs and pads, and then touch one pad. At this point, having a microscope comes in handy, because you can see the solder melt.
After that just proceed touching the legs one by one, soldering all 8 legs onto the logic board.