Answer
$v=\frac{3st^{4}-N}{5s}$
Work Step by Step
We are given that $N=3st^{4}-5sv$. We can solve for v by first subtracting $3st^{4}$ from both sides.
$N-3st^{4}=-5sv$
Multiply both sides by -1.
$3st^{4}-N=5sv$
Divide both sides by 5s.
$v=\frac{3st^{4}-N}{5s}$