Let's simplify the expression \( 2(k - 4) - 3(2k - 1) \).
-
Distribute the numbers in front of the parentheses: \[ 2(k - 4) = 2k - 8 \] \[ -3(2k - 1) = -6k + 3 \]
-
Now combine both results: \[ 2k - 8 - 6k + 3 \]
-
Combine like terms: \[ (2k - 6k) + (-8 + 3) = -4k - 5 \]
So, the final result of the subtraction is: \[ \boxed{-4k - 5} \]
Thus, the correct response is: −4k−5.