Question

solve the equation 4(p + 5) = 21. 21 is not evenly divisible by 4, so lets start by using the distributive property. multiply each term in the parentheses by 4. 4(p + 5) = 21 blankp + ? = 21 distributive property

Explanation:

Step1: Apply Distributive Property

The distributive property states that \( a(b + c)=ab + ac \). For \( 4(p + 5) \), we multiply 4 with \( p \) and 4 with 5. So, \( 4\times p=4p \) and \( 4\times5 = 20 \).

Step2: Fill in the Blanks

After applying the distributive property, the equation \( 4(p + 5)=21 \) becomes \( 4p+20 = 21 \). So the first blank (coefficient of \( p \)) is 4 and the second blank is 20.

Answer:

The first blank is 4 and the second blank is 20. So the filled equation is \( 4p + 20=21 \).