-32=-6+3(f-8)

Solution for -32=-6+3(f-8) equation:

Simplifying
-32 = -6 + 3(f + -8)

Reorder the terms:
-32 = -6 + 3(-8 + f)
-32 = -6 + (-8 * 3 + f * 3)
-32 = -6 + (-24 + 3f)

Combine like terms: -6 + -24 = -30
-32 = -30 + 3f

Solving
-32 = -30 + 3f

Solving for variable 'f'.

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

Add '-3f' to each side of the equation.
-32 + -3f = -30 + 3f + -3f

Combine like terms: 3f + -3f = 0
-32 + -3f = -30 + 0
-32 + -3f = -30

Add '32' to each side of the equation.
-32 + 32 + -3f = -30 + 32

Combine like terms: -32 + 32 = 0
0 + -3f = -30 + 32
-3f = -30 + 32

Combine like terms: -30 + 32 = 2
-3f = 2

Divide each side by '-3'.
f = -0.6666666667

Simplifying
f = -0.6666666667