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

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
3 hours ago

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