Subtract: 2(k−4)−3(2k−1)

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

1. Distribute \( 2 \) into \( (k - 4) \): \[ 2(k - 4) = 2k - 8 \]

2. Distribute \( -3 \) into \( (2k - 1) \): \[ -3(2k - 1) = -6k + 3 \]

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

4. Combine like terms:

   • Combine \( 2k \) and \( -6k \): \[ 2k - 6k = -4k \]
   • Combine \( -8 \) and \( 3 \): \[ -8 + 3 = -5 \]

5. Putting it all together: \[ -4k - 5 \]

So, the final result of the subtraction is:

\[ \text{Answer: } -4k - 5 \]