2(3n+3)-9=6n-4n

Solution for 2(3n+3)-9=6n-4n equation:

Simplifying
2(3n + 3) + -9 = 6n + -4n

Reorder the terms:
2(3 + 3n) + -9 = 6n + -4n
(3 * 2 + 3n * 2) + -9 = 6n + -4n
(6 + 6n) + -9 = 6n + -4n

Reorder the terms:
6 + -9 + 6n = 6n + -4n

Combine like terms: 6 + -9 = -3
-3 + 6n = 6n + -4n

Combine like terms: 6n + -4n = 2n
-3 + 6n = 2n

Solving
-3 + 6n = 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
-3 + 6n + -2n = 2n + -2n

Combine like terms: 6n + -2n = 4n
-3 + 4n = 2n + -2n

Combine like terms: 2n + -2n = 0
-3 + 4n = 0

Add '3' to each side of the equation.
-3 + 3 + 4n = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 4n = 0 + 3
4n = 0 + 3

Combine like terms: 0 + 3 = 3
4n = 3

Divide each side by '4'.
n = 0.75

Simplifying
n = 0.75