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

Question

-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.