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5(3s+8)=55
We move all terms to the left:
5(3s+8)-(55)=0
We multiply parentheses
15s+40-55=0
We add all the numbers together, and all the variables
15s-15=0
We move all terms containing s to the left, all other terms to the right
15s=15
s=15/15
s=1
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