6=-4(f+6)

Solution for 6=-4(f+6) equation:

Simplifying
6 = -4(f + 6)

Reorder the terms:
6 = -4(6 + f)
6 = (6 * -4 + f * -4)
6 = (-24 + -4f)

Solving
6 = -24 + -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 + 4f = -24 + -4f + 4f

Combine like terms: -4f + 4f = 0
6 + 4f = -24 + 0
6 + 4f = -24

Add '-6' to each side of the equation.
6 + -6 + 4f = -24 + -6

Combine like terms: 6 + -6 = 0
0 + 4f = -24 + -6
4f = -24 + -6

Combine like terms: -24 + -6 = -30
4f = -30

Divide each side by '4'.
f = -7.5

Simplifying
f = -7.5