-6(n+4)+27=-3n-6

Solution for -6(n+4)+27=-3n-6 equation:

Simplifying
-6(n + 4) + 27 = -3n + -6

Reorder the terms:
-6(4 + n) + 27 = -3n + -6
(4 * -6 + n * -6) + 27 = -3n + -6
(-24 + -6n) + 27 = -3n + -6

Reorder the terms:
-24 + 27 + -6n = -3n + -6

Combine like terms: -24 + 27 = 3
3 + -6n = -3n + -6

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

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

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

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

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

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

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

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

Simplifying
n = 3