5(n+6)=6+n

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

Simplifying
5(n + 6) = 6 + n

Reorder the terms:
5(6 + n) = 6 + n
(6 * 5 + n * 5) = 6 + n
(30 + 5n) = 6 + n

Solving
30 + 5n = 6 + n

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.
30 + 5n + -1n = 6 + n + -1n

Combine like terms: 5n + -1n = 4n
30 + 4n = 6 + n + -1n

Combine like terms: n + -1n = 0
30 + 4n = 6 + 0
30 + 4n = 6

Add '-30' to each side of the equation.
30 + -30 + 4n = 6 + -30

Combine like terms: 30 + -30 = 0
0 + 4n = 6 + -30
4n = 6 + -30

Combine like terms: 6 + -30 = -24
4n = -24

Divide each side by '4'.
n = -6

Simplifying
n = -6