Question

solve the equation 5(p - 2) = 20. use the distributive property. multiply each term in the parentheses by 5. 5(p - 2) = 20 \square p - \square? = 20 distributive property

Explanation:

Step1: Apply Distributive Property

The distributive property states that \( a(b - c)=ab - ac \). For \( 5(p - 2) \), multiply 5 with \( p \) and 5 with 2. So, \( 5\times p=5p \) and \( 5\times2 = 10 \). Thus, \( 5(p - 2)=5p-10 \).

Step2: Fill in the Blanks

From the above step, the first blank (coefficient of \( p \)) is 5 and the second blank (the constant term) is 10.

Answer:

The first blank is \( 5 \) and the second blank is \( 10 \). So the equation becomes \( \boldsymbol{5}p-\boldsymbol{10}=20 \)