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 = -41n
6 + 5n = 42 + -41n

Solving
6 + 5n = 42 + -41n

Solving for variable 'n'.

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

Add '41n' to each side of the equation.
6 + 5n + 41n = 42 + -41n + 41n

Combine like terms: 5n + 41n = 46n
6 + 46n = 42 + -41n + 41n

Combine like terms: -41n + 41n = 0
6 + 46n = 42 + 0
6 + 46n = 42

Add '-6' to each side of the equation.
6 + -6 + 46n = 42 + -6

Combine like terms: 6 + -6 = 0
0 + 46n = 42 + -6
46n = 42 + -6

Combine like terms: 42 + -6 = 36
46n = 36

Divide each side by '46'.
n = 0.7826086957

Simplifying
n = 0.7826086957