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5(w-6)-8=-7(-3w+6)-6w
We move all terms to the left:
5(w-6)-8-(-7(-3w+6)-6w)=0
We multiply parentheses
5w-(-7(-3w+6)-6w)-30-8=0
We calculate terms in parentheses: -(-7(-3w+6)-6w), so:We add all the numbers together, and all the variables
-7(-3w+6)-6w
We add all the numbers together, and all the variables
-6w-7(-3w+6)
We multiply parentheses
-6w+21w-42
We add all the numbers together, and all the variables
15w-42
Back to the equation:
-(15w-42)
5w-(15w-42)-38=0
We get rid of parentheses
5w-15w+42-38=0
We add all the numbers together, and all the variables
-10w+4=0
We move all terms containing w to the left, all other terms to the right
-10w=-4
w=-4/-10
w=2/5
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