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2(w+3)=6w+34
We move all terms to the left:
2(w+3)-(6w+34)=0
We multiply parentheses
2w-(6w+34)+6=0
We get rid of parentheses
2w-6w-34+6=0
We add all the numbers together, and all the variables
-4w-28=0
We move all terms containing w to the left, all other terms to the right
-4w=28
w=28/-4
w=-7
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