Answer:
[tex]v = \frac{A - r}{rf}[/tex]
Step-by-step explanation:
Given
[tex]A = r + rvf[/tex]
Required
Solve for v
[tex]A = r + rvf[/tex]
Subtract r from both sides
[tex]A - r = r - r + rvf[/tex]
[tex]A - r = rvf[/tex]
Divide both sides by rf
[tex]\frac{A - r}{rf} = \frac{rvf}{rf}[/tex]
[tex]\frac{A - r}{rf} = v[/tex]
Reorder the expression
[tex]v = \frac{A - r}{rf}[/tex]
At this point, we;ve solved for v