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4(2m+5)=52
We move all terms to the left:
4(2m+5)-(52)=0
We multiply parentheses
8m+20-52=0
We add all the numbers together, and all the variables
8m-32=0
We move all terms containing m to the left, all other terms to the right
8m=32
m=32/8
m=4
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