6(-6+4n)-6=12-3n

Solution for 6(-6+4n)-6=12-3n equation:

Simplifying
6(-6 + 4n) + -6 = 12 + -3n
(-6 * 6 + 4n * 6) + -6 = 12 + -3n
(-36 + 24n) + -6 = 12 + -3n

Reorder the terms:
-36 + -6 + 24n = 12 + -3n

Combine like terms: -36 + -6 = -42
-42 + 24n = 12 + -3n

Solving
-42 + 24n = 12 + -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.
-42 + 24n + 3n = 12 + -3n + 3n

Combine like terms: 24n + 3n = 27n
-42 + 27n = 12 + -3n + 3n

Combine like terms: -3n + 3n = 0
-42 + 27n = 12 + 0
-42 + 27n = 12

Add '42' to each side of the equation.
-42 + 42 + 27n = 12 + 42

Combine like terms: -42 + 42 = 0
0 + 27n = 12 + 42
27n = 12 + 42

Combine like terms: 12 + 42 = 54
27n = 54

Divide each side by '27'.
n = 2

Simplifying
n = 2