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6(3w+7)=3(4w-5)
We move all terms to the left:
6(3w+7)-(3(4w-5))=0
We multiply parentheses
18w-(3(4w-5))+42=0
We calculate terms in parentheses: -(3(4w-5)), so:We get rid of parentheses
3(4w-5)
We multiply parentheses
12w-15
Back to the equation:
-(12w-15)
18w-12w+15+42=0
We add all the numbers together, and all the variables
6w+57=0
We move all terms containing w to the left, all other terms to the right
6w=-57
w=-57/6
w=-9+1/2
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