Simplify −4(7b+3)+24b−8

Question

.(1 point)
Responses

4b−20
4 b minus 20

4b+20
4 b plus 20

−4b−20
negative 4 b minus 20

−4b+20
negative 4 b plus 20

Answer 1

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

1. Distribute \(-4\) across \((7b + 3)\): \[ -4 \times 7b = -28b \] \[ -4 \times 3 = -12 \]

   Thus, the expression becomes: \[ -28b - 12 + 24b - 8 \]

2. Combine like terms:

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

   Therefore, the simplified expression is: \[ -4b - 20 \]

So, the correct response is:

−4b−20 (negative 4 b minus 20).