6(2m−3)−3m=2m−18+m
Step 1: Simplify both sides of the equation.
6(2m−3)−3m=2m−18+m
(6)(2m)+(6)(−3)+−3m=2m+−18+m(Distribute)
12m+−18+−3m=2m+−18+m
(12m+−3m)+(−18)=(2m+m)+(−18)(Combine Like Terms)
9m+−18=3m+−18
9m−18=3m−18
Step 2: Subtract 3m from both sides.
9m−18−3m=3m−18−3m
6m−18=−18
Step 3: Add 18 to both sides.
6m−18+18=−18+18
6m=0
Step 4: Divide both sides by 6.
6m
6
=
0
6
m=0