Question

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

−6k−18
negative 6 k minus 18

−4k−11
negative 4 k minus 11

8k−11
8 k minus 11

−4k−5

Answer 1

To simplify the expression \( 2(k - 4) - 3(2k - 1) \), follow these steps:

1. Distribute the \(2\) in the first part:
\[
2(k - 4) = 2k - 8
\]

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

3. Now, combine the results from steps 1 and 2:
\[
2k - 8 - 6k + 3
\]

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

Thus, the simplified expression is:
\[
\boxed{-4k - 5}
\]