Subtract: 2(k−4)−3(2k−1)

Question

.(1 point)
Responses

−4k−11
negative 4 k minus 11

8k−11
8 k minus 11

−4k−5
negative 4 k minus 5

−6k−18

Answer 1

Let's simplify the expression \(2(k - 4) - 3(2k - 1)\).

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

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

3. Now combine the two results: \[ 2k - 8 - 6k + 3 \]

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

The final result is: \[ \boxed{-4k - 5} \]

So, the correct response is \(-4k - 5\).