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5(3m+8)=100
We move all terms to the left:
5(3m+8)-(100)=0
We multiply parentheses
15m+40-100=0
We add all the numbers together, and all the variables
15m-60=0
We move all terms containing m to the left, all other terms to the right
15m=60
m=60/15
m=4
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