Answer
$5a-36$
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 $6(a-5)-(a+6)$. We can use the distributive property to simplify the terms in parentheses and combine like terms.
$6(a-5)-(a+6)=(6\times a)+(6\times-5)+(-1\times a)+(-1\times6)=(6a)+(-30)+(-a)+(-6)=(6-1)a+(-30-6)=(5)a+(-36)=5a-36$
