Question

which expression is equivalent to 5(-7c - 3) - 9?
-3(5c - 7) - 9
-7(-3c + 5) - 9
5(-3c - 7) - 9
-35c - 24

Explanation:

Step1: Expand the original expression

Use the distributive property \(a(b + c)=ab+ac\). For \(5(-7c - 3)-9\), we have \(5\times(-7c)+5\times(-3)-9=-35c-15 - 9\).

Step2: Combine like - terms

Combine the constant terms \(-15\) and \(-9\). \(-35c+(-15 - 9)=-35c-24\).

Answer:

-35c - 24