Question

use the distributive property to write an equivalent expression.
6(7q + 7)

Explanation:

Step1: Recall the distributive property

The distributive property states that \( a(b + c)=ab + ac \). Here, \( a = 6 \), \( b=7q \), and \( c = 7 \).

Step2: Apply the distributive property

Multiply 6 with each term inside the parentheses:
\( 6\times7q+6\times7 \)

Step3: Calculate the products

\( 6\times7q = 42q \) and \( 6\times7=42 \). So the expression becomes \( 42q + 42 \).

Answer:

\( 42q + 42 \)