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 \boxed{}p + \boxed{?} = 21 \longleftarrow 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 \(4\times5 = 20\). So the equation becomes \(4p+20 = 21\).

Step2: Identify the coefficients/constants

From the equation \(4p + 20=21\), the coefficient of \(p\) is 4 and the constant term is 20. So in the blanks, we have 4 and 20.

Answer:

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