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9-6m-3+4m-2=0
Use the distributive property to multiply -3 by 2m+1.
6-6m+4m-2=0
Subtract 3 from 9 to get 6.
6-2m-2=0
Combine -6m and 4m to get -2m.
4-2m=0
Subtract 2 from 6 to get 4.
-2m=-4
Subtract 4 from both sides. Anything subtracted from zero gives its negation.
m=\frac{-4}{-2}
Divide both sides by -2.
m=2
Divide -4 by -2 to get 2.