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

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

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

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

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

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

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

Combine like terms: -6 + 6 = 0
0 + 6n = -6 + 6 + -2n
6n = -6 + 6 + -2n

Combine like terms: -6 + 6 = 0
6n = 0 + -2n
6n = -2n

Solving
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.
6n + 2n = -2n + 2n

Combine like terms: 6n + 2n = 8n
8n = -2n + 2n

Combine like terms: -2n + 2n = 0
8n = 0

Divide each side by '8'.
n = 0

Simplifying
n = 0