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

Solution for 7(n+6)-(2+8n)=-2n equation:

Simplifying
7(n + 6) + -1(2 + 8n) = -2n

Reorder the terms:
7(6 + n) + -1(2 + 8n) = -2n
(6 * 7 + n * 7) + -1(2 + 8n) = -2n
(42 + 7n) + -1(2 + 8n) = -2n
42 + 7n + (2 * -1 + 8n * -1) = -2n
42 + 7n + (-2 + -8n) = -2n

Reorder the terms:
42 + -2 + 7n + -8n = -2n

Combine like terms: 42 + -2 = 40
40 + 7n + -8n = -2n

Combine like terms: 7n + -8n = -1n
40 + -1n = -2n

Solving
40 + -1n = -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.
40 + -1n + 2n = -2n + 2n

Combine like terms: -1n + 2n = 1n
40 + 1n = -2n + 2n

Combine like terms: -2n + 2n = 0
40 + 1n = 0

Add '-40' to each side of the equation.
40 + -40 + 1n = 0 + -40

Combine like terms: 40 + -40 = 0
0 + 1n = 0 + -40
1n = 0 + -40

Combine like terms: 0 + -40 = -40
1n = -40

Divide each side by '1'.
n = -40

Simplifying
n = -40