Solve r=f/n(w-y)

$$r = \frac { f } { n ( w - y ) }$$

Solve for n

$$\left\{\begin{matrix}n=-\frac{f}{r\left(y-w\right)}\text{, }&f\neq 0\text{ and }w\neq y\text{ and }r\neq 0\\n\neq 0\text{, }&r=0\text{ and }f=0\text{ and }w\neq y\end{matrix}\right.$$

Steps for Solving Linear Equation

Variable n cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by n\left(-y+w\right).

$$rn\left(-y+w\right)=f$$

Use the distributive property to multiply rn by -y+w.

$$-rny+rnw=f$$

Combine all terms containing n.

$$\left(-ry+rw\right)n=f$$

The equation is in standard form.

$$\left(rw-ry\right)n=f$$

Divide both sides by -ry+rw.

$$\frac{\left(rw-ry\right)n}{rw-ry}=\frac{f}{rw-ry}$$

Dividing by -ry+rw undoes the multiplication by -ry+rw.

$$n=\frac{f}{rw-ry}$$

Divide f by -ry+rw.

$$n=\frac{f}{r\left(w-y\right)}$$

Variable n cannot be equal to 0.

$$n=\frac{f}{r\left(w-y\right)}\text{, }n\neq 0$$

Solve for f

$$f=nr\left(w-y\right)$$

$$n\neq 0\text{ and }w\neq y$$