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5s-53=2s-8
We move all terms to the left:
5s-53-(2s-8)=0
We get rid of parentheses
5s-2s+8-53=0
We add all the numbers together, and all the variables
3s-45=0
We move all terms containing s to the left, all other terms to the right
3s=45
s=45/3
s=15
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