What is the answer to - 2 (2f-4) = - 4 (-f+2)

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

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

-4f+8=4f+-8

-4f+8=4f-8

Subtract 4f from both sides.

-4f+8-4f=4f-8-4f

-8f+8=-8

Subtract 8 from both sides.

-8f+8-8=-8-8

-8f=-16

Divide both sides by - 8.

-8f/-8=-16/-8

f=2

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

Distribute the - 2, multiplying it to each term inside the parentheses.

(-2 * 2f = - 4f, and - 2 * - 4 = 8 because the double negatives cancel)

-4f+8 = - 4 (-f+2)

Now distribute the - 4 ...

(-4 * - f = 4f, and - 4 * 2 = - 8)

-4f+8 = 4f-8

Add 4f to each side so that our variable is on just one side of the equation.

8 = 8f-8

To get rid of that - 8 and isolate our variable, add 8 to each side.

16 = 8f

Divide each side by 8 to get the value of f.

2 = f