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5w=-7w+6
We move all terms to the left:
5w-(-7w+6)=0
We get rid of parentheses
5w+7w-6=0
We add all the numbers together, and all the variables
12w-6=0
We move all terms containing w to the left, all other terms to the right
12w=6
w=6/12
w=1/2
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