Answer:
[tex]\large\boxed{f=-\dfrac{9}{4}=-2\dfrac{1}{4}}[/tex]
Step-by-step explanation:
[tex]-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}}[/tex]
