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3w-2(3w-7)=47
We move all terms to the left:
3w-2(3w-7)-(47)=0
We multiply parentheses
3w-6w+14-47=0
We add all the numbers together, and all the variables
-3w-33=0
We move all terms containing w to the left, all other terms to the right
-3w=33
w=33/-3
w=-11
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