Question

Simplify −4(7b+3)+24b−8
.(1 point)
Responses

4b+20
4 b plus 20

−4b−20
negative 4 b minus 20

4b−20
4 b minus 20

−4b+20

Answer 1

Let's simplify the expression step by step:

1. Start with the expression:
\(-4(7b + 3) + 24b - 8\).

2. Distribute \(-4\) to the terms inside the parentheses:
\(-4 \times 7b = -28b\)
\(-4 \times 3 = -12\)

So, we have:
\(-28b - 12 + 24b - 8\).

3. Combine like terms:
- For the \(b\) terms: \(-28b + 24b = -4b\)
- For the constant terms: \(-12 - 8 = -20\)

4. Combine these results:
\(-4b - 20\).

Thus, the simplified expression is:
\(-4b - 20\).

The correct response is: **−4b−20** (negative 4 b minus 20).