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3(w-7)+8w=23
We move all terms to the left:
3(w-7)+8w-(23)=0
We add all the numbers together, and all the variables
8w+3(w-7)-23=0
We multiply parentheses
8w+3w-21-23=0
We add all the numbers together, and all the variables
11w-44=0
We move all terms containing w to the left, all other terms to the right
11w=44
w=44/11
w=4
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