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 /..

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 hour ago

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: \[ \boxed{-4b - 20} \]