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8(m-5)=23m-8
We move all terms to the left:
8(m-5)-(23m-8)=0
We multiply parentheses
8m-(23m-8)-40=0
We get rid of parentheses
8m-23m+8-40=0
We add all the numbers together, and all the variables
-15m-32=0
We move all terms containing m to the left, all other terms to the right
-15m=32
m=32/-15
m=-2+2/15
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