Solve bn=4-3n

$$b n = 4 - 3 n$$

Solve for b

$$b=-3+\frac{4}{n}$$

$$n\neq 0$$

Steps for Solving Linear Equation

The equation is in standard form.

$$nb=4-3n$$

Divide both sides by n.

$$\frac{nb}{n}=\frac{4-3n}{n}$$

Dividing by n undoes the multiplication by n.

$$b=\frac{4-3n}{n}$$

Divide 4-3n by n.

$$b=-3+\frac{4}{n}$$

Solve for n

$$n=\frac{4}{b+3}$$

$$b\neq -3$$

Steps for Solving Linear Equation

Add 3n to both sides.

$$bn+3n=4$$

Combine all terms containing n.

$$\left(b+3\right)n=4$$

Divide both sides by b+3.

$$\frac{\left(b+3\right)n}{b+3}=\frac{4}{b+3}$$

Dividing by b+3 undoes the multiplication by b+3.

$$n=\frac{4}{b+3}$$