Simplify −4(7b+3)+24b−8 .(1 point)

Question

Responses

4b+20
4 b plus 20

−4b+20
negative 4 b plus 20

−4b−20
negative 4 b minus 20

4b−20

Answer 1

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:

$$-28b-12+24b-8$$

2. Combine the $b$ terms:

$$-28b+24b=-4b$$

3. 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).