(n+6)=6n+36

Solution for (n+6)=6n+36 equation:

Simplifying
(n + 6) = 6n + 36

Reorder the terms:
(6 + n) = 6n + 36

Remove parenthesis around (6 + n)
6 + n = 6n + 36

Reorder the terms:
6 + n = 36 + 6n

Solving
6 + n = 36 + 6n

Solving for variable 'n'.

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

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

Combine like terms: n + -6n = -5n
6 + -5n = 36 + 6n + -6n

Combine like terms: 6n + -6n = 0
6 + -5n = 36 + 0
6 + -5n = 36

Add '-6' to each side of the equation.
6 + -6 + -5n = 36 + -6

Combine like terms: 6 + -6 = 0
0 + -5n = 36 + -6
-5n = 36 + -6

Combine like terms: 36 + -6 = 30
-5n = 30

Divide each side by '-5'.
n = -6

Simplifying
n = -6