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10(9w+13)-5(3w-1)=8(11w+12)
We move all terms to the left:
10(9w+13)-5(3w-1)-(8(11w+12))=0
We multiply parentheses
90w-15w-(8(11w+12))+130+5=0
We calculate terms in parentheses: -(8(11w+12)), so:We add all the numbers together, and all the variables
8(11w+12)
We multiply parentheses
88w+96
Back to the equation:
-(88w+96)
75w-(88w+96)+135=0
We get rid of parentheses
75w-88w-96+135=0
We add all the numbers together, and all the variables
-13w+39=0
We move all terms containing w to the left, all other terms to the right
-13w=-39
w=-39/-13
w=+3
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