Question

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

4b+20
4 b plus 20

−4b+20
negative 4 b plus 20

−4b−20
negative 4 b minus 20

4b−20

Answer 1

Let's simplify the expression step by step:

Given expression:

\[
-4(7b + 3) + 24b - 8
\]

1. Distribute \(-4\) into \((7b + 3)\):

\[
-4 \cdot 7b - 4 \cdot 3 = -28b - 12
\]

So, the expression becomes:

\[
-28b - 12 + 24b - 8
\]

2. Combine the \(b\) terms:

\[
-28b + 24b = -4b
\]

3. Combine the constant terms:

\[
-12 - 8 = -20
\]

So the final simplified expression is:

\[
-4b - 20
\]

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