6-12f=9(-10f+8)+12f

Solution for 6-12f=9(-10f+8)+12f equation:

Simplifying
6 + -12f = 9(-10f + 8) + 12f

Reorder the terms:
6 + -12f = 9(8 + -10f) + 12f
6 + -12f = (8 * 9 + -10f * 9) + 12f
6 + -12f = (72 + -90f) + 12f

Combine like terms: -90f + 12f = -78f
6 + -12f = 72 + -78f

Solving
6 + -12f = 72 + -78f

Solving for variable 'f'.

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

Add '78f' to each side of the equation.
6 + -12f + 78f = 72 + -78f + 78f

Combine like terms: -12f + 78f = 66f
6 + 66f = 72 + -78f + 78f

Combine like terms: -78f + 78f = 0
6 + 66f = 72 + 0
6 + 66f = 72

Add '-6' to each side of the equation.
6 + -6 + 66f = 72 + -6

Combine like terms: 6 + -6 = 0
0 + 66f = 72 + -6
66f = 72 + -6

Combine like terms: 72 + -6 = 66
66f = 66

Divide each side by '66'.
f = 1

Simplifying
f = 1