Question

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

−4b−20
negative 4 b minus 20

4b+20
4 b plus 20

−4b+20
negative 4 b plus 20

4b−20

Answer 1

Let's simplify the expression step by step:

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

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

So now the expression becomes:
\[
-28b - 12 + 24b - 8
\]

Step 2: Combine like terms:
- Combine the terms with \(b\):
\[
-28b + 24b = -4b
\]
- Combine the constant terms:
\[
-12 - 8 = -20
\]

Putting it all together, we have:
\[
-4b - 20
\]

Thus, the simplified expression is:
\[
\boxed{-4b - 20}
\]