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6m-9=4m+11
We move all terms to the left:
6m-9-(4m+11)=0
We get rid of parentheses
6m-4m-11-9=0
We add all the numbers together, and all the variables
2m-20=0
We move all terms containing m to the left, all other terms to the right
2m=20
m=20/2
m=10
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