Subtract 2 (k - 4) - 3 (2k - 1).

To subtract 2(k - 4) - 3(2k - 1), we need to distribute the factors first.

2(k - 4) becomes 2k - 8.

3(2k - 1) becomes 6k - 3.

So the expression becomes:

2k - 8 - (6k - 3).

To subtract the expression inside the parentheses, we can distribute the negative sign:

2k - 8 - 6k + 3.

Combining like terms, we have:

(-4k) + (-5).

Simplifying further, we get:

-4k - 5.