Question

Subtract: 2(k−4)−3(2k−1)
.(1 point)
Responses

8k−11
8 k minus 11

−4k−11
negative 4 k minus 11

−4k−5
negative 4 k minus 5

−6k−18

Answer 1

Let's simplify the expression step by step:

We start with the expression:

\[ 2(k - 4) - 3(2k - 1) \]

1. Distribute the 2 in the first term:
\[ 2 \cdot k - 2 \cdot 4 = 2k - 8 \]

2. Distribute the -3 in the second term:
\[ -3 \cdot (2k) + 3 \cdot 1 = -6k + 3 \]

Now the expression looks like this:

\[ 2k - 8 - 6k + 3 \]

3. Combine like terms:
\[ (2k - 6k) + (-8 + 3) = -4k - 5 \]

So the final simplified expression is:

\[ -4k - 5 \]

The correct response is:

**−4k−5** (negative 4 k minus 5)