6=2(-5+5n)-(1-7n)

Solution for 6=2(-5+5n)-(1-7n) equation:

Simplifying
6 = 2(-5 + 5n) + -1(1 + -7n)
6 = (-5 * 2 + 5n * 2) + -1(1 + -7n)
6 = (-10 + 10n) + -1(1 + -7n)
6 = -10 + 10n + (1 * -1 + -7n * -1)
6 = -10 + 10n + (-1 + 7n)

Reorder the terms:
6 = -10 + -1 + 10n + 7n

Combine like terms: -10 + -1 = -11
6 = -11 + 10n + 7n

Combine like terms: 10n + 7n = 17n
6 = -11 + 17n

Solving
6 = -11 + 17n

Solving for variable 'n'.

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

Add '-17n' to each side of the equation.
6 + -17n = -11 + 17n + -17n

Combine like terms: 17n + -17n = 0
6 + -17n = -11 + 0
6 + -17n = -11

Add '-6' to each side of the equation.
6 + -6 + -17n = -11 + -6

Combine like terms: 6 + -6 = 0
0 + -17n = -11 + -6
-17n = -11 + -6

Combine like terms: -11 + -6 = -17
-17n = -17

Divide each side by '-17'.
n = 1

Simplifying
n = 1