We need to distribute.
Multipy the parenthesis first:
9m - 6 = 6m + 6
Now we want variables on the same side so subtract 6m from both sides (we use this because it's the smallest of the two)
3m - 6 = 6 Now move the constant numbers to the same side by adding 6 to both sides (this eliminates the -6 on the left)
3m = 12 Now divide both sides by 3.
m = 4
Check your work.
3((3 x 4)-2)=2((3 x 4)+3)
3 (12-2)=2(12+3)
3 x 10 = 2 x 15
30 = 30
Yes - it checks!