Answer
$v=\frac{T+4ws}{3s+5w}$
Work Step by Step
We are given that $T=3vs-4ws+5vw$. We can solve for v by first adding 4ws to both sides.
$T+4ws=3vs+5vw$
We can use the distributive property to factor out v from both terms on the right side.
$T+4ws=v(3s+5w)$
Divide both sides by 3s+5w.
$v=\frac{T+4ws}{3s+5w}$