Solve P=R-C/nf

$$P = \frac { R - C } { n } f$$

Solve for C

$$\left\{\begin{matrix}C=-\frac{Pn}{f}+R\text{, }&n\neq 0\text{ and }f\neq 0\\C\in \mathrm{R}\text{, }&P=0\text{ and }f=0\text{ and }n\neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by n.

$$Pn=\left(R-C\right)f$$

Use the distributive property to multiply R-C by f.

$$Pn=Rf-Cf$$

Swap sides so that all variable terms are on the left hand side.

$$Rf-Cf=Pn$$

Subtract Rf from both sides.

$$-Cf=Pn-Rf$$

The equation is in standard form.

$$\left(-f\right)C=Pn-Rf$$

Divide both sides by -f.

$$\frac{\left(-f\right)C}{-f}=\frac{Pn-Rf}{-f}$$

Dividing by -f undoes the multiplication by -f.

$$C=\frac{Pn-Rf}{-f}$$

Divide Pn-Rf by -f.

$$C=-\frac{Pn}{f}+R$$

Solve for P

$$P=-\frac{f\left(C-R\right)}{n}$$

$$n\neq 0$$