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(4m+9)/3=7-2m
We move all terms to the left:
(4m+9)/3-(7-2m)=0
We add all the numbers together, and all the variables
(4m+9)/3-(-2m+7)=0
We get rid of parentheses
(4m+9)/3+2m-7=0
We multiply all the terms by the denominator
(4m+9)+2m*3-7*3=0
We add all the numbers together, and all the variables
(4m+9)+2m*3-21=0
Wy multiply elements
(4m+9)+6m-21=0
We get rid of parentheses
4m+6m+9-21=0
We add all the numbers together, and all the variables
10m-12=0
We move all terms containing m to the left, all other terms to the right
10m=12
m=12/10
m=1+1/5
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