-8(k-3)+4(k-2)-2(3k+1)

Expanding each term:

-8k + 24 + 4k - 8 - 6k - 2

Combining like terms:

-8k + 4k - 6k + 24 - 8 - 2

-10k + 14

Therefore, the simplified expression is -10k + 14.