3(3n-2)=2(3m+3)

Solution for 3(3n-2)=2(3m+3) equation:

Simplifying
3(3n + -2) = 2(3m + 3)

Reorder the terms:
3(-2 + 3n) = 2(3m + 3)
(-2 * 3 + 3n * 3) = 2(3m + 3)
(-6 + 9n) = 2(3m + 3)

Reorder the terms:
-6 + 9n = 2(3 + 3m)
-6 + 9n = (3 * 2 + 3m * 2)
-6 + 9n = (6 + 6m)

Solving
-6 + 9n = 6 + 6m

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '6' to each side of the equation.
-6 + 6 + 9n = 6 + 6 + 6m

Combine like terms: -6 + 6 = 0
0 + 9n = 6 + 6 + 6m
9n = 6 + 6 + 6m

Combine like terms: 6 + 6 = 12
9n = 12 + 6m

Divide each side by '9'.
n = 1.333333333 + 0.6666666667m

Simplifying
n = 1.333333333 + 0.6666666667m