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

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

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

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

Reorder the terms:
6 + 3n = -6 + -3n

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

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

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

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

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

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

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

Simplifying
n = -2