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2w-44=8w-8
We move all terms to the left:
2w-44-(8w-8)=0
We get rid of parentheses
2w-8w+8-44=0
We add all the numbers together, and all the variables
-6w-36=0
We move all terms containing w to the left, all other terms to the right
-6w=36
w=36/-6
w=-6
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