Question

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

Explanation:

Step1: Recall distributive property

The distributive property is \( a(b + c) = ab + ac \). Here, \( a = 6 \), \( b = q \), \( c = 7r \).

Step2: Apply distributive property

Multiply 6 with each term inside the parentheses: \( 6 \times q + 6 \times 7r \).

Step3: Simplify the products

\( 6 \times q = 6q \) and \( 6 \times 7r = 42r \). So the equivalent expression is \( 6q + 42r \).

Answer:

\( 6q + 42r \)