Subtract: 2(k−4)−3(2k−1)

Question

.(1 point)
Responses

−4k−5
negative 4 k minus 5

−4k−11
negative 4 k minus 11

−6k−18
negative 6 k minus 18

8k−11

Answer 1

To subtract \(2(k - 4) - 3(2k - 1)\), we can start by distributing the terms inside the parentheses.

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

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

Now, we can combine these results: \[ 2k - 8 - 6k + 3 \]

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

So the final answer is: \[ \boxed{-4k - 5} \]