Subtract: 2(k−4)−3(2k−1)

Question

.(1 point)
Responses

8k−11
8 k minus 11

−6k−18
negative 6 k minus 18

−4k−11
negative 4 k minus 11

−4k−5

Answer 1

To solve the expression \( 2(k-4) - 3(2k-1) \), we'll first distribute the numbers outside the parentheses and then combine like terms.

1. Distribute \( 2 \) and \( -3 \): \[ 2(k-4) = 2k - 8 \] \[ -3(2k-1) = -6k + 3 \]

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

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

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