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7=14w-7w
We move all terms to the left:
7-(14w-7w)=0
We add all the numbers together, and all the variables
-(+7w)+7=0
We get rid of parentheses
-7w+7=0
We move all terms containing w to the left, all other terms to the right
-7w=-7
w=-7/-7
w=1
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