3(n+2)=6-3(n-4)

Solution for 3(n+2)=6-3(n-4) equation:

Simplifying
3(n + 2) = 6 + -3(n + -4)

Reorder the terms:
3(2 + n) = 6 + -3(n + -4)
(2 * 3 + n * 3) = 6 + -3(n + -4)
(6 + 3n) = 6 + -3(n + -4)

Reorder the terms:
6 + 3n = 6 + -3(-4 + n)
6 + 3n = 6 + (-4 * -3 + n * -3)
6 + 3n = 6 + (12 + -3n)

Combine like terms: 6 + 12 = 18
6 + 3n = 18 + -3n

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

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

Combine like terms: -3n + 3n = 0
6 + 6n = 18 + 0
6 + 6n = 18

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

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

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

Divide each side by '6'.
n = 2

Simplifying
n = 2