#### Answer

$10k-10$

#### Work Step by Step

We are given the expression $-3(2k-4)+4(3k-5)-2+4k$.
We can use the distributive property to simplify the terms in parentheses and then combine like terms.
$-3(2k-4)+4(3k-5)-2+4k=(-3\times2k)+(-3\times-4)+(4\times3k)+(4\times-5)-2+4k=(-6k)+(12)+(12k)+(-20)-2+4k=(-6+12+4)k+(12-20-2)=(10)k+(-10)=10k-10$