Question

which expression is equivalent to (-24) - 32n? a -8(3 - 4n) b 8(3 + 4n) c -8(3 + 4n) d 8(3 - 4n)

Explanation:

Step1: Factor out -8 from the expression

We start with the expression \((-24) - 32n\). We can factor out \(-8\) from both terms.
For the first term, \(-24\div(-8) = 3\). For the second term, \(-32n\div(-8)=4n\).
So, factoring out \(-8\) gives us \(-8(3 + 4n)\).

Step2: Check other options (optional but for verification)

• Option A: \(-8(3 - 4n)=-24 + 32n\), which is not equal to \(-24-32n\).
• Option B: \(8(3 + 4n)=24 + 32n\), not equal.
• Option D: \(8(3 - 4n)=24 - 32n\), not equal.

Answer:

C. \(-8(3 + 4n)\)