-9(n-12)=3(1+8n)-12n

Solution for -9(n-12)=3(1+8n)-12n equation:

Simplifying
-9(n + -12) = 3(1 + 8n) + -12n

Reorder the terms:
-9(-12 + n) = 3(1 + 8n) + -12n
(-12 * -9 + n * -9) = 3(1 + 8n) + -12n
(108 + -9n) = 3(1 + 8n) + -12n
108 + -9n = (1 * 3 + 8n * 3) + -12n
108 + -9n = (3 + 24n) + -12n

Combine like terms: 24n + -12n = 12n
108 + -9n = 3 + 12n

Solving
108 + -9n = 3 + 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.
108 + -9n + -12n = 3 + 12n + -12n

Combine like terms: -9n + -12n = -21n
108 + -21n = 3 + 12n + -12n

Combine like terms: 12n + -12n = 0
108 + -21n = 3 + 0
108 + -21n = 3

Add '-108' to each side of the equation.
108 + -108 + -21n = 3 + -108

Combine like terms: 108 + -108 = 0
0 + -21n = 3 + -108
-21n = 3 + -108

Combine like terms: 3 + -108 = -105
-21n = -105

Divide each side by '-21'.
n = 5

Simplifying
n = 5