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3(w-4)=6(7-w)
We move all terms to the left:
3(w-4)-(6(7-w))=0
We add all the numbers together, and all the variables
3(w-4)-(6(-1w+7))=0
We multiply parentheses
3w-(6(-1w+7))-12=0
We calculate terms in parentheses: -(6(-1w+7)), so:We get rid of parentheses
6(-1w+7)
We multiply parentheses
-6w+42
Back to the equation:
-(-6w+42)
3w+6w-42-12=0
We add all the numbers together, and all the variables
9w-54=0
We move all terms containing w to the left, all other terms to the right
9w=54
w=54/9
w=6
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