9(n-1)+12=3(2n-1)

Solution for 9(n-1)+12=3(2n-1) equation:

Simplifying
9(n + -1) + 12 = 3(2n + -1)

Reorder the terms:
9(-1 + n) + 12 = 3(2n + -1)
(-1 * 9 + n * 9) + 12 = 3(2n + -1)
(-9 + 9n) + 12 = 3(2n + -1)

Reorder the terms:
-9 + 12 + 9n = 3(2n + -1)

Combine like terms: -9 + 12 = 3
3 + 9n = 3(2n + -1)

Reorder the terms:
3 + 9n = 3(-1 + 2n)
3 + 9n = (-1 * 3 + 2n * 3)
3 + 9n = (-3 + 6n)

Solving
3 + 9n = -3 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
3 + 9n + -6n = -3 + 6n + -6n

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

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

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

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

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

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

Simplifying
n = -2