5n+6+n=4n-8

Solution for 5n+6+n=4n-8 equation:

Simplifying
5n + 6 + n = 4n + -8

Reorder the terms:
6 + 5n + n = 4n + -8

Combine like terms: 5n + n = 6n
6 + 6n = 4n + -8

Reorder the terms:
6 + 6n = -8 + 4n

Solving
6 + 6n = -8 + 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
6 + 6n + -4n = -8 + 4n + -4n

Combine like terms: 6n + -4n = 2n
6 + 2n = -8 + 4n + -4n

Combine like terms: 4n + -4n = 0
6 + 2n = -8 + 0
6 + 2n = -8

Add '-6' to each side of the equation.
6 + -6 + 2n = -8 + -6

Combine like terms: 6 + -6 = 0
0 + 2n = -8 + -6
2n = -8 + -6

Combine like terms: -8 + -6 = -14
2n = -14

Divide each side by '2'.
n = -7

Simplifying
n = -7