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2(w+2)=9w+32
We move all terms to the left:
2(w+2)-(9w+32)=0
We multiply parentheses
2w-(9w+32)+4=0
We get rid of parentheses
2w-9w-32+4=0
We add all the numbers together, and all the variables
-7w-28=0
We move all terms containing w to the left, all other terms to the right
-7w=28
w=28/-7
w=-4
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