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

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

Simplifying
-5n + 6 = -7(5n + -6n) + -6n

Reorder the terms:
6 + -5n = -7(5n + -6n) + -6n

Combine like terms: 5n + -6n = -1n
6 + -5n = -7(-1n) + -6n

Remove parenthesis around (-1n)
6 + -5n = -7 * -1n + -6n

Multiply -7 * -1
6 + -5n = 7n + -6n

Combine like terms: 7n + -6n = 1n
6 + -5n = 1n

Solving
6 + -5n = 1n

Solving for variable 'n'.

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

Add '-1n' to each side of the equation.
6 + -5n + -1n = 1n + -1n

Combine like terms: -5n + -1n = -6n
6 + -6n = 1n + -1n

Combine like terms: 1n + -1n = 0
6 + -6n = 0

Add '-6' to each side of the equation.
6 + -6 + -6n = 0 + -6

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

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

Divide each side by '-6'.
n = 1

Simplifying
n = 1