Simplify −4(7b+3)+24b−8

Question

.(1 point)
Responses

−4b−20
negative 4 b minus 20

4b−20
4 b minus 20

4b+20
4 b plus 20

−4b+20

Answer 1

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

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

2. Replace the original expression with the result from the distribution: \[ -28b - 12 + 24b - 8 \]

3. Combine like terms:

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

4. Putting it all together: \[ -4b - 20 \]

Thus, the simplified expression is \(-4b - 20\).

The correct response from the provided options is: −4b−20