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

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

Simplifying
3(2n + 4) + -3(3n + 6) = 0

Reorder the terms:
3(4 + 2n) + -3(3n + 6) = 0
(4 * 3 + 2n * 3) + -3(3n + 6) = 0
(12 + 6n) + -3(3n + 6) = 0

Reorder the terms:
12 + 6n + -3(6 + 3n) = 0
12 + 6n + (6 * -3 + 3n * -3) = 0
12 + 6n + (-18 + -9n) = 0

Reorder the terms:
12 + -18 + 6n + -9n = 0

Combine like terms: 12 + -18 = -6
-6 + 6n + -9n = 0

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

Solving
-6 + -3n = 0

Solving for variable 'n'.

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

Add '6' to each side of the equation.
-6 + 6 + -3n = 0 + 6

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

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

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

Simplifying
n = -2