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

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

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

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

Reorder the terms:
6 + 6n = 6 + -6(-6 + -7n)
6 + 6n = 6 + (-6 * -6 + -7n * -6)
6 + 6n = 6 + (36 + 42n)

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

Solving
6 + 6n = 42 + 42n

Solving for variable 'n'.

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

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

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

Combine like terms: 42n + -42n = 0
6 + -36n = 42 + 0
6 + -36n = 42

Add '-6' to each side of the equation.
6 + -6 + -36n = 42 + -6

Combine like terms: 6 + -6 = 0
0 + -36n = 42 + -6
-36n = 42 + -6

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

Divide each side by '-36'.
n = -1

Simplifying
n = -1