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6(m+5)=7m+8(m-3)
We move all terms to the left:
6(m+5)-(7m+8(m-3))=0
We multiply parentheses
6m-(7m+8(m-3))+30=0
We calculate terms in parentheses: -(7m+8(m-3)), so:We get rid of parentheses
7m+8(m-3)
We multiply parentheses
7m+8m-24
We add all the numbers together, and all the variables
15m-24
Back to the equation:
-(15m-24)
6m-15m+24+30=0
We add all the numbers together, and all the variables
-9m+54=0
We move all terms containing m to the left, all other terms to the right
-9m=-54
m=-54/-9
m=+6
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