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-9(w-8)=4w+7

We move all terms to the left:

-9(w-8)-(4w+7)=0

We multiply parentheses

-9w-(4w+7)+72=0

We get rid of parentheses

-9w-4w-7+72=0

We add all the numbers together, and all the variables

-13w+65=0

We move all terms containing w to the left, all other terms to the right

-13w=-65

w=-65/-13

w=+5

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