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(w-3)-5(w+7)-10(w+3)+7w=-5
We move all terms to the left:
(w-3)-5(w+7)-10(w+3)+7w-(-5)=0
We add all the numbers together, and all the variables
7w+(w-3)-5(w+7)-10(w+3)+5=0
We multiply parentheses
7w+(w-3)-5w-10w-35-30+5=0
We get rid of parentheses
7w+w-5w-10w-3-35-30+5=0
We add all the numbers together, and all the variables
-7w-63=0
We move all terms containing w to the left, all other terms to the right
-7w=63
w=63/-7
w=-9
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