Question

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

−4b−20
negative 4 b minus 20

4b−20
4 b minus 20

4b+20
4 b plus 20

−4b+20

Answer 1

To simplify the expression \(-4(7b + 3) + 24b - 8\), let's follow the steps:

1. Distribute \(-4\) into the parentheses:
\[
-4 \cdot 7b - 4 \cdot 3 = -28b - 12
\]

2. Replace the original expression with the result from the distribution:
\[
-28b - 12 + 24b - 8
\]

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

4. Putting it all together:
\[
-4b - 20
\]

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

The correct response from the provided options is:
**−4b−20**