# How do you simplify 8(3m+6)?

The Distributive Property states that the sum of two numbers (in this case, 3m and 6) times a third number (8) is equal to the sum of each of those two numbers times the third number. For instance, $8 \left(3 m + 6\right) = 8 \cdot 3 m + 8 \cdot 6$. $8 \cdot 3 m = 24 m$, and $8 \cdot 6 = 48$. Just put those two numbers together to get our answer, $24 m + 48$.