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2(2m)+4(4m+2)=100
We move all terms to the left:
2(2m)+4(4m+2)-(100)=0
We multiply parentheses
22m+16m+8-100=0
We add all the numbers together, and all the variables
38m-92=0
We move all terms containing m to the left, all other terms to the right
38m=92
m=92/38
m=2+8/19
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