3 (3m-2) = 2 (3m+3) (I'm confused)

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!