Solve 8ex-p/2n=k

$$8 \frac { e x - p } { 2 n } = k$$

Solve for k

$$k=\frac{4\left(ex-p\right)}{n}$$

$$n\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2n.

$$8\left(ex-p\right)=k\times 2n$$

Use the distributive property to multiply 8 by ex-p.

$$8ex-8p=k\times 2n$$

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

$$k\times 2n=8ex-8p$$

The equation is in standard form.

$$2nk=8ex-8p$$

Divide both sides by 2n.

$$\frac{2nk}{2n}=\frac{8ex-8p}{2n}$$

Dividing by 2n undoes the multiplication by 2n.

$$k=\frac{8ex-8p}{2n}$$

Divide 8ex-8p by 2n.

$$k=\frac{4\left(ex-p\right)}{n}$$

Solve for n

$$\left\{\begin{matrix}n=\frac{4\left(ex-p\right)}{k}\text{, }&x\neq \frac{p}{e}\text{ and }k\neq 0\\n\neq 0\text{, }&k=0\text{ and }x=\frac{p}{e}\end{matrix}\right.$$

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 2n.

$$8\left(ex-p\right)=k\times 2n$$

Use the distributive property to multiply 8 by ex-p.

$$8ex-8p=k\times 2n$$

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

$$k\times 2n=8ex-8p$$

The equation is in standard form.

$$2kn=8ex-8p$$

Divide both sides by 2k.

$$\frac{2kn}{2k}=\frac{8ex-8p}{2k}$$

Dividing by 2k undoes the multiplication by 2k.

$$n=\frac{8ex-8p}{2k}$$

Divide 8ex-8p by 2k.

$$n=\frac{4\left(ex-p\right)}{k}$$

Variable n cannot be equal to 0.

$$n=\frac{4\left(ex-p\right)}{k}\text{, }n\neq 0$$