6(n+6)-2(5+n)=-6n+8n

Solution for 6(n+6)-2(5+n)=-6n+8n equation:

Simplifying
6(n + 6) + -2(5 + n) = -6n + 8n

Reorder the terms:
6(6 + n) + -2(5 + n) = -6n + 8n
(6 * 6 + n * 6) + -2(5 + n) = -6n + 8n
(36 + 6n) + -2(5 + n) = -6n + 8n
36 + 6n + (5 * -2 + n * -2) = -6n + 8n
36 + 6n + (-10 + -2n) = -6n + 8n

Reorder the terms:
36 + -10 + 6n + -2n = -6n + 8n

Combine like terms: 36 + -10 = 26
26 + 6n + -2n = -6n + 8n

Combine like terms: 6n + -2n = 4n
26 + 4n = -6n + 8n

Combine like terms: -6n + 8n = 2n
26 + 4n = 2n

Solving
26 + 4n = 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.
26 + 4n + -2n = 2n + -2n

Combine like terms: 4n + -2n = 2n
26 + 2n = 2n + -2n

Combine like terms: 2n + -2n = 0
26 + 2n = 0

Add '-26' to each side of the equation.
26 + -26 + 2n = 0 + -26

Combine like terms: 26 + -26 = 0
0 + 2n = 0 + -26
2n = 0 + -26

Combine like terms: 0 + -26 = -26
2n = -26

Divide each side by '2'.
n = -13

Simplifying
n = -13