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6(5-w)=2(9-w)
We move all terms to the left:
6(5-w)-(2(9-w))=0
We add all the numbers together, and all the variables
6(-1w+5)-(2(-1w+9))=0
We multiply parentheses
-6w-(2(-1w+9))+30=0
We calculate terms in parentheses: -(2(-1w+9)), so:We get rid of parentheses
2(-1w+9)
We multiply parentheses
-2w+18
Back to the equation:
-(-2w+18)
-6w+2w-18+30=0
We add all the numbers together, and all the variables
-4w+12=0
We move all terms containing w to the left, all other terms to the right
-4w=-12
w=-12/-4
w=+3
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