3(n+6)=6+n

Solution for 3(n+6)=6+n equation:

Simplifying
3(n + 6) = 6 + n

Reorder the terms:
3(6 + n) = 6 + n
(6 * 3 + n * 3) = 6 + n
(18 + 3n) = 6 + n

Solving
18 + 3n = 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.
18 + 3n + -1n = 6 + n + -1n

Combine like terms: 3n + -1n = 2n
18 + 2n = 6 + n + -1n

Combine like terms: n + -1n = 0
18 + 2n = 6 + 0
18 + 2n = 6

Add '-18' to each side of the equation.
18 + -18 + 2n = 6 + -18

Combine like terms: 18 + -18 = 0
0 + 2n = 6 + -18
2n = 6 + -18

Combine like terms: 6 + -18 = -12
2n = -12

Divide each side by '2'.
n = -6

Simplifying
n = -6