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9w+7=7w+17
We move all terms to the left:
9w+7-(7w+17)=0
We get rid of parentheses
9w-7w-17+7=0
We add all the numbers together, and all the variables
2w-10=0
We move all terms containing w to the left, all other terms to the right
2w=10
w=10/2
w=5
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