Question

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

Answer 1

-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

Answer 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