Answer
$20x+32+12p$
Work Step by Step
The distributive law states that $a(b+c)=ab+ac$ (for real numbers $a$, $b$, and $c$). That is, the product of a number and a sum can be written as two products.
Therefore, $4(5x+8+3p)=4(5x)+4(8)+4(3p)=20x+32+12p$.