Question

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

4b−20
4
𝑏
−
20
4 b minus 20

4b+20
4
𝑏
+
20
4 b plus 20

−4b+20
−
4
𝑏
+
20
negative 4 b plus 20

−4b−20 /..

Answer 1

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

1. Distribute \(-4\) to the terms inside the parentheses:
\[
-4(7b) - 4(3) = -28b - 12
\]

2. Rewrite the expression with the distributed terms:
\[
-28b - 12 + 24b - 8
\]

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

4. Combine the results:
\[
-4b - 20
\]

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