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2(w-3)-6w=-38
We move all terms to the left:
2(w-3)-6w-(-38)=0
We add all the numbers together, and all the variables
-6w+2(w-3)+38=0
We multiply parentheses
-6w+2w-6+38=0
We add all the numbers together, and all the variables
-4w+32=0
We move all terms containing w to the left, all other terms to the right
-4w=-32
w=-32/-4
w=+8
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