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4w+38=7w+35
We move all terms to the left:
4w+38-(7w+35)=0
We get rid of parentheses
4w-7w-35+38=0
We add all the numbers together, and all the variables
-3w+3=0
We move all terms containing w to the left, all other terms to the right
-3w=-3
w=-3/-3
w=1
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