What is the answer to -2(2f-4)=-4(-f+2)
2 answers:
<span>−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</span>
-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
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