Determine which property is illustrated by the given equation. 9(-8+4)=-72+36

The given equation is $9(-8+4)=-72+36$. If we simplify the left side of the equation, we get $9(-4)=-36$. On the right side, we have $-72+36=-36$. Both sides of the equation are equal, which means the equation is true. This equation illustrates the distributive property of multiplication over addition. The distributive property states that the product of a number and the sum of two other numbers is equal to the sum of the products of the number and each of the other two numbers. In this case, 9 is distributed over -8 and 4, resulting in -72 and 36, which are the same as the right side of the equation.