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2(w-5)=7w-15
We move all terms to the left:
2(w-5)-(7w-15)=0
We multiply parentheses
2w-(7w-15)-10=0
We get rid of parentheses
2w-7w+15-10=0
We add all the numbers together, and all the variables
-5w+5=0
We move all terms containing w to the left, all other terms to the right
-5w=-5
w=-5/-5
w=1
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