#### Answer

$-2k+15$

#### Work Step by Step

The distributive property holds that $a(b+c)=ab+ac$ (for real numbers $a$, $b$, and $c$).
We are given the expression $3(k+2)-5k+6+3$. We can use the distributive property to simplify the terms in parentheses and combine like terms.
$3(k+2)-5k+6+3=(3\times k)+(3\times2)-5k+6+3=3k+6-5k+6+3=(3-5)k+(6+6+3)=(-2)k+(15)=-2k+15$