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

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

Simplifying
6(n + 6) + 2(n + -2) = 0

Reorder the terms:
6(6 + n) + 2(n + -2) = 0
(6 * 6 + n * 6) + 2(n + -2) = 0
(36 + 6n) + 2(n + -2) = 0

Reorder the terms:
36 + 6n + 2(-2 + n) = 0
36 + 6n + (-2 * 2 + n * 2) = 0
36 + 6n + (-4 + 2n) = 0

Reorder the terms:
36 + -4 + 6n + 2n = 0

Combine like terms: 36 + -4 = 32
32 + 6n + 2n = 0

Combine like terms: 6n + 2n = 8n
32 + 8n = 0

Solving
32 + 8n = 0

Solving for variable 'n'.

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

Add '-32' to each side of the equation.
32 + -32 + 8n = 0 + -32

Combine like terms: 32 + -32 = 0
0 + 8n = 0 + -32
8n = 0 + -32

Combine like terms: 0 + -32 = -32
8n = -32

Divide each side by '8'.
n = -4

Simplifying
n = -4