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qn\left(-t+v\right)=f
Variable n cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by n\left(-t+v\right).
-qnt+qnv=f
Use the distributive property to multiply qn by -t+v.
\left(-qt+qv\right)n=f
Combine all terms containing n.
\left(qv-qt\right)n=f
The equation is in standard form.
\frac{\left(qv-qt\right)n}{qv-qt}=\frac{f}{qv-qt}
Divide both sides by -qt+qv.
n=\frac{f}{qv-qt}
Dividing by -qt+qv undoes the multiplication by -qt+qv.
n=\frac{f}{q\left(v-t\right)}
Divide f by -qt+qv.
n=\frac{f}{q\left(v-t\right)}\text{, }n\neq 0
Variable n cannot be equal to 0.