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

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

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

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

Reorder the terms:
6 + -5n = -7(-6 + -5n) + -6n
6 + -5n = (-6 * -7 + -5n * -7) + -6n
6 + -5n = (42 + 35n) + -6n

Combine like terms: 35n + -6n = 29n
6 + -5n = 42 + 29n

Solving
6 + -5n = 42 + 29n

Solving for variable 'n'.

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

Add '-29n' to each side of the equation.
6 + -5n + -29n = 42 + 29n + -29n

Combine like terms: -5n + -29n = -34n
6 + -34n = 42 + 29n + -29n

Combine like terms: 29n + -29n = 0
6 + -34n = 42 + 0
6 + -34n = 42

Add '-6' to each side of the equation.
6 + -6 + -34n = 42 + -6

Combine like terms: 6 + -6 = 0
0 + -34n = 42 + -6
-34n = 42 + -6

Combine like terms: 42 + -6 = 36
-34n = 36

Divide each side by '-34'.
n = -1.058823529

Simplifying
n = -1.058823529