Solve R=(5+b)m

$$R = ( 5 + b ) m$$

Solve for b (complex solution)

$$\left\{\begin{matrix}b=\frac{R}{m}-5\text{, }&m\neq 0\\b\in \mathrm{C}\text{, }&R=0\text{ and }m=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Use the distributive property to multiply 5+b by m.

$$R=5m+bm$$

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

$$5m+bm=R$$

Subtract 5m from both sides.

$$bm=R-5m$$

The equation is in standard form.

$$mb=R-5m$$

Divide both sides by m.

$$\frac{mb}{m}=\frac{R-5m}{m}$$

Dividing by m undoes the multiplication by m.

$$b=\frac{R-5m}{m}$$

Divide R-5m by m.

$$b=\frac{R}{m}-5$$

Solve for b

$$\left\{\begin{matrix}b=\frac{R}{m}-5\text{, }&m\neq 0\\b\in \mathrm{R}\text{, }&R=0\text{ and }m=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Use the distributive property to multiply 5+b by m.

$$R=5m+bm$$

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

$$5m+bm=R$$

Subtract 5m from both sides.

$$bm=R-5m$$

The equation is in standard form.

$$mb=R-5m$$

Divide both sides by m.

$$\frac{mb}{m}=\frac{R-5m}{m}$$

Dividing by m undoes the multiplication by m.

$$b=\frac{R-5m}{m}$$

Divide R-5m by m.

$$b=\frac{R}{m}-5$$

Solve for R

$$R=m\left(b+5\right)$$

Solution Steps

Use the distributive property to multiply 5+b by m.

$$R=5m+bm$$