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

Solution for 12(n+2)=(6+3n) equation:

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

Reorder the terms:
12(2 + n) = (6 + 3n)
(2 * 12 + n * 12) = (6 + 3n)
(24 + 12n) = (6 + 3n)

Remove parenthesis around (6 + 3n)
24 + 12n = 6 + 3n

Solving
24 + 12n = 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.
24 + 12n + -3n = 6 + 3n + -3n

Combine like terms: 12n + -3n = 9n
24 + 9n = 6 + 3n + -3n

Combine like terms: 3n + -3n = 0
24 + 9n = 6 + 0
24 + 9n = 6

Add '-24' to each side of the equation.
24 + -24 + 9n = 6 + -24

Combine like terms: 24 + -24 = 0
0 + 9n = 6 + -24
9n = 6 + -24

Combine like terms: 6 + -24 = -18
9n = -18

Divide each side by '9'.
n = -2

Simplifying
n = -2