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

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

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

Reorder the terms:
6 + 6n = -2(6 + 4n) + 4
6 + 6n = (6 * -2 + 4n * -2) + 4
6 + 6n = (-12 + -8n) + 4

Reorder the terms:
6 + 6n = -12 + 4 + -8n

Combine like terms: -12 + 4 = -8
6 + 6n = -8 + -8n

Solving
6 + 6n = -8 + -8n

Solving for variable 'n'.

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

Add '8n' to each side of the equation.
6 + 6n + 8n = -8 + -8n + 8n

Combine like terms: 6n + 8n = 14n
6 + 14n = -8 + -8n + 8n

Combine like terms: -8n + 8n = 0
6 + 14n = -8 + 0
6 + 14n = -8

Add '-6' to each side of the equation.
6 + -6 + 14n = -8 + -6

Combine like terms: 6 + -6 = 0
0 + 14n = -8 + -6
14n = -8 + -6

Combine like terms: -8 + -6 = -14
14n = -14

Divide each side by '14'.
n = -1

Simplifying
n = -1