Solve 4(b-7)=r

$$4 ( b - 7 ) = r$$

Solve for b

$$b=\frac{r+28}{4}$$

Steps for Solving Linear Equation

Use the distributive property to multiply 4 by b-7.

$$4b-28=r$$

Add 28 to both sides.

$$4b=r+28$$

Divide both sides by 4.

$$\frac{4b}{4}=\frac{r+28}{4}$$

Dividing by 4 undoes the multiplication by 4.

$$b=\frac{r+28}{4}$$

Divide r+28 by 4.

$$b=\frac{r}{4}+7$$

Solve for r

$$r=4\left(b-7\right)$$

Solution Steps

Use the distributive property to multiply 4 by b-7.

$$4b-28=r$$

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

$$r=4b-28$$