Question

simplify the expression:
-7(5 - 3k) =
save answer

Explanation:

Step1: Apply the distributive property

The distributive property states that \(a(b - c)=ab - ac\). Here, \(a = -7\), \(b = 5\), and \(c = 3k\). So we multiply \(-7\) with each term inside the parentheses:
\(-7\times5+(-7)\times(-3k)\)

Step2: Calculate each product

First, calculate \(-7\times5=-35\). Then, calculate \((-7)\times(-3k) = 21k\) (because the product of two negative numbers is positive).
Combine these results: \(-35 + 21k\)

Answer:

\(-35 + 21k\)