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6(w+2)=-2(7w-9)+8w
We move all terms to the left:
6(w+2)-(-2(7w-9)+8w)=0
We multiply parentheses
6w-(-2(7w-9)+8w)+12=0
We calculate terms in parentheses: -(-2(7w-9)+8w), so:We get rid of parentheses
-2(7w-9)+8w
We add all the numbers together, and all the variables
8w-2(7w-9)
We multiply parentheses
8w-14w+18
We add all the numbers together, and all the variables
-6w+18
Back to the equation:
-(-6w+18)
6w+6w-18+12=0
We add all the numbers together, and all the variables
12w-6=0
We move all terms containing w to the left, all other terms to the right
12w=6
w=6/12
w=1/2
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