Solve A=(30(5p-30))

$$A = ( 30 ( 5 p - 30 ) )$$

Solve for p

$$p=\frac{A+900}{150}$$

Steps for Solving Linear Equation

Use the distributive property to multiply 30 by 5p-30.

$$A=150p-900$$

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

$$150p-900=A$$

Add 900 to both sides.

$$150p=A+900$$

Divide both sides by 150.

$$\frac{150p}{150}=\frac{A+900}{150}$$

Dividing by 150 undoes the multiplication by 150.

$$p=\frac{A+900}{150}$$

Divide A+900 by 150.

$$p=\frac{A}{150}+6$$

Solve for A

$$A=150\left(p-6\right)$$

Solution Steps

Use the distributive property to multiply 30 by 5p-30.

$$A=150p-900$$