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hmmm...when you move first 1 left of equal sign you have one term left and so 5 terms right ( considering the example of 3 couples so 6 ones ). So in the end:

1 = 1-1+1-1+1

so 1 = 1

no! I'm not moving the ones anywhere :)
I just took the minus common and the rest of the series to the other side
but you're close, try again

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