Evaluate 3(2/3p+3-1/3p-5)

$3 (\frac{2}{3} p + 3 - \frac{1}{3} p - 5)$

Step 1

Simplify each term.

Combine $\frac{2}{3}$ and $p$ .

$3 (\frac{2 p}{3} + 3 - \frac{1}{3} p - 5)$

Combine $p$ and $\frac{1}{3}$ .

$3 (\frac{2 p}{3} + 3 - \frac{p}{3} - 5)$

Step 2

Simplify terms.

Combine the numerators over the common denominator.

$3 (3 - 5 + \frac{2 p - p}{3})$

Subtract $p$ from $2 p$ .

$3 (3 - 5 + \frac{p}{3})$

Subtract $5$ from $3$ .

$3 (- 2 + \frac{p}{3})$

Apply the distributive property.

$3 \cdot - 2 + 3 \frac{p}{3}$

Multiply $3$ by $- 2$ .

$- 6 + 3 \frac{p}{3}$

Cancel the common factor of $3$ .

Cancel the common factor.

$- 6 + 3 \frac{p}{3}$

Rewrite the expression.

$- 6 + p$