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-w+9=-7+8w-8w

We move all terms to the left:

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

We add all the numbers together, and all the variables

-w+9-(-7)=0

We add all the numbers together, and all the variables

-1w+16=0

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

-w=-16

w=-16/-1

w=+16

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