Question

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

−4k−11
negative 4 k minus 11

−4k−5
negative 4 k minus 5

−6k−18
negative 6 k minus 18

8k−11

Answer 1

Let's simplify the expression \( 2(k - 4) - 3(2k - 1) \).

1. Distribute the numbers in front of the parentheses:
\[
2(k - 4) = 2k - 8
\]
\[
-3(2k - 1) = -6k + 3
\]

2. Now combine both results:
\[
2k - 8 - 6k + 3
\]

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

So, the final result of the subtraction is:
\[
\boxed{-4k - 5}
\]

Thus, the correct response is:
**−4k−5**.