Subtract

To subtract the expression \(2(k-4) - 3(2k-1)\), we can first distribute the constants in front of the parentheses.

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

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

Now, combine the two results:
\[
2(k-4) - 3(2k-1) = (2k - 8) + (-6k + 3)
\]

Next, we can combine like terms:
\[
= 2k - 6k - 8 + 3
\]
\[
= -4k - 5
\]

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