2(3n+3)-9=15

Solution for 2(3n+3)-9=15 equation:

Simplifying
2(3n + 3) + -9 = 15

Reorder the terms:
2(3 + 3n) + -9 = 15
(3 * 2 + 3n * 2) + -9 = 15
(6 + 6n) + -9 = 15

Reorder the terms:
6 + -9 + 6n = 15

Combine like terms: 6 + -9 = -3
-3 + 6n = 15

Solving
-3 + 6n = 15

Solving for variable 'n'.

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

Add '3' to each side of the equation.
-3 + 3 + 6n = 15 + 3

Combine like terms: -3 + 3 = 0
0 + 6n = 15 + 3
6n = 15 + 3

Combine like terms: 15 + 3 = 18
6n = 18

Divide each side by '6'.
n = 3

Simplifying
n = 3