-5(n-9)-(-6+6n)=-12n

Solution for -5(n-9)-(-6+6n)=-12n equation:

Simplifying
-5(n + -9) + -1(-6 + 6n) = -12n

Reorder the terms:
-5(-9 + n) + -1(-6 + 6n) = -12n
(-9 * -5 + n * -5) + -1(-6 + 6n) = -12n
(45 + -5n) + -1(-6 + 6n) = -12n
45 + -5n + (-6 * -1 + 6n * -1) = -12n
45 + -5n + (6 + -6n) = -12n

Reorder the terms:
45 + 6 + -5n + -6n = -12n

Combine like terms: 45 + 6 = 51
51 + -5n + -6n = -12n

Combine like terms: -5n + -6n = -11n
51 + -11n = -12n

Solving
51 + -11n = -12n

Solving for variable 'n'.

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

Add '12n' to each side of the equation.
51 + -11n + 12n = -12n + 12n

Combine like terms: -11n + 12n = 1n
51 + 1n = -12n + 12n

Combine like terms: -12n + 12n = 0
51 + 1n = 0

Add '-51' to each side of the equation.
51 + -51 + 1n = 0 + -51

Combine like terms: 51 + -51 = 0
0 + 1n = 0 + -51
1n = 0 + -51

Combine like terms: 0 + -51 = -51
1n = -51

Divide each side by '1'.
n = -51

Simplifying
n = -51