6(-1-7n)-2n=-314

Solution for 6(-1-7n)-2n=-314 equation:

Simplifying
6(-1 + -7n) + -2n = -314
(-1 * 6 + -7n * 6) + -2n = -314
(-6 + -42n) + -2n = -314

Combine like terms: -42n + -2n = -44n
-6 + -44n = -314

Solving
-6 + -44n = -314

Solving for variable 'n'.

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

Add '6' to each side of the equation.
-6 + 6 + -44n = -314 + 6

Combine like terms: -6 + 6 = 0
0 + -44n = -314 + 6
-44n = -314 + 6

Combine like terms: -314 + 6 = -308
-44n = -308

Divide each side by '-44'.
n = 7

Simplifying
n = 7