#### Answer

$9r-11$

#### 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 $5(r-3)+6r-2r+4$. We can use the distributive property to simplify the terms in parentheses and combine like terms.
$5(r-3)+6r-2r+4=(5\times r)+(5\times-3)+6r-2r+4=5r-15+6r-2r+4=(5+6-2)r+(-15+4)=(9)r+(-11)=9r-11$