-3(f-2)=-4(-f+2)

Solution for -3(f-2)=-4(-f+2) equation:

Simplifying
-3(f + -2) = -4(-1f + 2)

Reorder the terms:
-3(-2 + f) = -4(-1f + 2)
(-2 * -3 + f * -3) = -4(-1f + 2)
(6 + -3f) = -4(-1f + 2)

Reorder the terms:
6 + -3f = -4(2 + -1f)
6 + -3f = (2 * -4 + -1f * -4)
6 + -3f = (-8 + 4f)

Solving
6 + -3f = -8 + 4f

Solving for variable 'f'.

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

Add '-4f' to each side of the equation.
6 + -3f + -4f = -8 + 4f + -4f

Combine like terms: -3f + -4f = -7f
6 + -7f = -8 + 4f + -4f

Combine like terms: 4f + -4f = 0
6 + -7f = -8 + 0
6 + -7f = -8

Add '-6' to each side of the equation.
6 + -6 + -7f = -8 + -6

Combine like terms: 6 + -6 = 0
0 + -7f = -8 + -6
-7f = -8 + -6

Combine like terms: -8 + -6 = -14
-7f = -14

Divide each side by '-7'.
f = 2

Simplifying
f = 2