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10m+14=15m-1
We move all terms to the left:
10m+14-(15m-1)=0
We get rid of parentheses
10m-15m+1+14=0
We add all the numbers together, and all the variables
-5m+15=0
We move all terms containing m to the left, all other terms to the right
-5m=-15
m=-15/-5
m=+3
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