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how much work does it take to move the plates 2d?

W=Fd=QEd'

i'm not sure what to use for the Q or the E. Should it be for both plates or for just one plate?

Assuming that it's just for one plate, we get: [itex] W = \sigma A \frac{\sigma}{2 \epsilon_o} d' [/itex]

and that would be it right?

then we just let d'=2d