State the name of the property illustrated. \[ 2(-8+7)=-16+14 \] Associative Commutative Both associative and commutative Distributive

Step 1 ：The given equation is showing that the multiplication of 2 with the sum of -8 and 7 is equal to the sum of the products of 2 and -8 and 2 and 7. This is demonstrating the distributive property, which states that the product of a number and the sum of two other numbers is equal to the sum of the products of the first number and each of the other two numbers.

Step 2 ：Final Answer: \(\boxed{\text{Distributive}}\)