Simplify −4(7b+3)+24b−8 .(1 point)

Responses

4b+20
4 b plus 20

−4b+20
negative 4 b plus 20

−4b−20
negative 4 b minus 20

4b−20

1 answer

Let's simplify the expression step by step:

Given expression:

\[ -4(7b + 3) + 24b - 8 \]

  1. Distribute \(-4\) into \((7b + 3)\):

\[ -4 \cdot 7b - 4 \cdot 3 = -28b - 12 \]

So, the expression becomes:

\[ -28b - 12 + 24b - 8 \]

  1. Combine the \(b\) terms:

\[ -28b + 24b = -4b \]

  1. Combine the constant terms:

\[ -12 - 8 = -20 \]

So the final simplified expression is:

\[ -4b - 20 \]

The correct answer is: −4b−20 (negative 4 b minus 20).