## Intermediate Algebra (6th Edition)

$-4x+8y-28$
We are given the expression $-4(x-2y+7)$. In general, the distributive property holds that $a(b+c)=ab+ac$. However, since this example has 4 terms, we can rewrite the distributive property as $a(b+c+d)=ab+ac+ad$. $a=-4$, $b=x$, $c=-2y$, and $d=7$ $a(b+c+d)=-4(x-2y+7)=-4(x)-4(-2y)-4(7)=-4x+8y-28$