6(n+2)=(6+3n)

Solution for 6(n+2)=(6+3n) equation:

Simplifying
6(n + 2) = (6 + 3n)

Reorder the terms:
6(2 + n) = (6 + 3n)
(2 * 6 + n * 6) = (6 + 3n)
(12 + 6n) = (6 + 3n)

Remove parenthesis around (6 + 3n)
12 + 6n = 6 + 3n

Solving
12 + 6n = 6 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
12 + 6n + -3n = 6 + 3n + -3n

Combine like terms: 6n + -3n = 3n
12 + 3n = 6 + 3n + -3n

Combine like terms: 3n + -3n = 0
12 + 3n = 6 + 0
12 + 3n = 6

Add '-12' to each side of the equation.
12 + -12 + 3n = 6 + -12

Combine like terms: 12 + -12 = 0
0 + 3n = 6 + -12
3n = 6 + -12

Combine like terms: 6 + -12 = -6
3n = -6

Divide each side by '3'.
n = -2

Simplifying
n = -2