Solve n-2sn-6=0

$$n - 2 s n - 6 = 0$$

Solve for n

$$n=\frac{6}{1-2s}$$

$$s\neq \frac{1}{2}$$

Steps for Solving Linear Equation

Add 6 to both sides. Anything plus zero gives itself.

$$n-2sn=6$$

Combine all terms containing n.

$$\left(1-2s\right)n=6$$

Divide both sides by 1-2s.

$$\frac{\left(1-2s\right)n}{1-2s}=\frac{6}{1-2s}$$

Dividing by 1-2s undoes the multiplication by 1-2s.

$$n=\frac{6}{1-2s}$$

Solve for s

$$s=\frac{1}{2}-\frac{3}{n}$$

$$n\neq 0$$

Steps for Solving Linear Equation

Subtract n from both sides. Anything subtracted from zero gives its negation.

$$-2sn-6=-n$$

Add 6 to both sides.

$$-2sn=-n+6$$

The equation is in standard form.

$$\left(-2n\right)s=6-n$$

Divide both sides by -2n.

$$\frac{\left(-2n\right)s}{-2n}=\frac{6-n}{-2n}$$

Dividing by -2n undoes the multiplication by -2n.

$$s=\frac{6-n}{-2n}$$

Divide -n+6 by -2n.

$$s=\frac{1}{2}-\frac{3}{n}$$