Question

Subtract 2 ( k - 4 ) - 3 ( 2k - 1 )

-4k - 11

8k - 11

-6k - 18

Answer 1

Let's simplify the expression step by step:

1. Start with the expression:
\[
2(k - 4) - 3(2k - 1)
\]

2. Distribute the terms inside the parentheses:
\[
= 2k - 8 - (6k - 3)
\]
(note: when distributing -3, we change the signs)

3. This simplifies to:
\[
= 2k - 8 - 6k + 3
\]

4. Now combine like terms (combine \(2k\) and \(-6k\), and \(-8\) and \(3\)):
- For \(k\) terms:
\[
2k - 6k = -4k
\]
- For constants:
\[
-8 + 3 = -5
\]

5. Combine these results:
\[
-4k - 5
\]

So the final result is:
\[
-4k - 5
\]

It appears there is a discrepancy since the provided options were:
- \(-4k - 11\)
- \(8k - 11\)
- \(-6k - 18\)

The correct result \( -4k - 5 \) does not match any of the given answers. Please verify the original expression or choices.