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Len [333]
3 years ago
8

What is F in -4f+2(4f-5)=-19​

Mathematics
1 answer:
DochEvi [55]3 years ago
7 0

Answer:

\large\boxed{f=-\dfrac{9}{4}=-2\dfrac{1}{4}}

Step-by-step explanation:

-4f+2(4f-5)=-19\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\-4f+(2)(4f)+(2)(-5)=-19\\\\-4f+8f-10=-19\qquad\text{add 10 to both sides}\\\\-4f+8f-10+10=-19+10\qquad\text{combine like terms}\\\\4f=-9\qquad\text{divide both sides by 4}\\\\\dfrac{4f}{4}=\dfrac{-9}{4}\\\\\boxed{f=-\dfrac{9}{4}}

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