Solve r=(b-3)m

$$r = ( b - 3 ) m$$

Solve for b (complex solution)

$$\left\{\begin{matrix}b=\frac{r}{m}+3\text{, }&m\neq 0\\b\in \mathrm{C}\text{, }&r=0\text{ and }m=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Use the distributive property to multiply b-3 by m.

$$r=bm-3m$$

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

$$bm-3m=r$$

Add 3m to both sides.

$$bm=r+3m$$

The equation is in standard form.

$$mb=3m+r$$

Divide both sides by m.

$$\frac{mb}{m}=\frac{3m+r}{m}$$

Dividing by m undoes the multiplication by m.

$$b=\frac{3m+r}{m}$$

Divide r+3m by m.

$$b=\frac{r}{m}+3$$

Solve for m (complex solution)

$$\left\{\begin{matrix}m=-\frac{r}{3-b}\text{, }&b\neq 3\\m\in \mathrm{C}\text{, }&r=0\text{ and }b=3\end{matrix}\right.$$

Steps for Solving Linear Equation

Use the distributive property to multiply b-3 by m.

$$r=bm-3m$$

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

$$bm-3m=r$$

Combine all terms containing m.

$$\left(b-3\right)m=r$$

Divide both sides by b-3.

$$\frac{\left(b-3\right)m}{b-3}=\frac{r}{b-3}$$

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

$$m=\frac{r}{b-3}$$

Solve for b

$$\left\{\begin{matrix}b=\frac{r}{m}+3\text{, }&m\neq 0\\b\in \mathrm{R}\text{, }&r=0\text{ and }m=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Use the distributive property to multiply b-3 by m.

$$r=bm-3m$$

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

$$bm-3m=r$$

Add 3m to both sides.

$$bm=r+3m$$

The equation is in standard form.

$$mb=3m+r$$

Divide both sides by m.

$$\frac{mb}{m}=\frac{3m+r}{m}$$

Dividing by m undoes the multiplication by m.

$$b=\frac{3m+r}{m}$$

Divide r+3m by m.

$$b=\frac{r}{m}+3$$

Solve for m

$$\left\{\begin{matrix}m=-\frac{r}{3-b}\text{, }&b\neq 3\\m\in \mathrm{R}\text{, }&r=0\text{ and }b=3\end{matrix}\right.$$

Steps for Solving Linear Equation

Use the distributive property to multiply b-3 by m.

$$r=bm-3m$$

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

$$bm-3m=r$$

Combine all terms containing m.

$$\left(b-3\right)m=r$$

Divide both sides by b-3.

$$\frac{\left(b-3\right)m}{b-3}=\frac{r}{b-3}$$

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

$$m=\frac{r}{b-3}$$