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2w+4=5w-7
We move all terms to the left:
2w+4-(5w-7)=0
We get rid of parentheses
2w-5w+7+4=0
We add all the numbers together, and all the variables
-3w+11=0
We move all terms containing w to the left, all other terms to the right
-3w=-11
w=-11/-3
w=3+2/3
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