Question

What is F in -4f+2(4f-5)=-19​

Answer 1

`\large\boxed{f=-(9)/(4)=-2(1)/(4)}`

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}\\\\(4f)/(4)=(-9)/(4)\\\\\boxed{f=-(9)/(4)}`