Subtract: 2(k−4)−3(2k−1)

Question

.(1 point)
Responses

−4k−11
negative 4 k minus 11

8k−11
8 k minus 11

−6k−18
negative 6 k minus 18

−4k−5

Answer 1

To simplify the expression \( 2(k−4)−3(2k−1) \), we'll follow these steps:

1. Distribute the constants into the parentheses: \[ 2(k - 4) = 2k - 8 \] \[ -3(2k - 1) = -6k + 3 \]

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

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

Therefore, the result of the subtraction \( 2(k−4)−3(2k−1) \) is: \[ \boxed{-4k - 5} \]