Solve for p 4.05p+14.40=4.50(p+3)

$4.05 p + 14.4 = 4.5 (p + 3)$

Step 1

Simplify $4.5 (p + 3)$ .

Rewrite.

$4.05 p + 14.4 = 0 + 0 + 4.5 (p + 3)$

Simplify by adding zeros.

$4.05 p + 14.4 = 4.5 (p + 3)$

Apply the distributive property.

$4.05 p + 14.4 = 4.5 p + 4.5 \cdot 3$

Multiply $4.5$ by $3$ .

$4.05 p + 14.4 = 4.5 p + 13.5$

Step 2

Move all terms containing $p$ to the left side of the equation.

Subtract $4.5 p$ from both sides of the equation.

$4.05 p + 14.4 - 4.5 p = 13.5$

Subtract $4.5 p$ from $4.05 p$ .

$- 0.45 p + 14.4 = 13.5$

Step 3

Move all terms not containing $p$ to the right side of the equation.

Subtract $14.4$ from both sides of the equation.

$- 0.45 p = 13.5 - 14.4$

Subtract $14.4$ from $13.5$ .

$- 0.45 p = - 0.9$

Step 4

Divide each term in $- 0.45 p = - 0.9$ by $- 0.45$ and simplify.

Divide each term in $- 0.45 p = - 0.9$ by $- 0.45$ .

$\frac{- 0.45 p}{- 0.45} = \frac{- 0.9}{- 0.45}$

Simplify the left side.

Cancel the common factor of $- 0.45$ .

Cancel the common factor.

$\frac{- 0.45 p}{- 0.45} = \frac{- 0.9}{- 0.45}$

Divide $p$ by $1$ .

$p = \frac{- 0.9}{- 0.45}$

Simplify the right side.

Divide $- 0.9$ by $- 0.45$ .

$p = 2$