Problem

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

Answer

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Answer

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

Steps

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: \(\boxed{\text{Distributive}}\)

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