Answer:
Distributive Property
Step-by-step explanation:
The Distributive Property states that multiplication over addition (or subtraction) can be distributed to each term within the parentheses. In other words, multiplying a number by a group of numbers added together is the same as multiplying each number separately.
Statement 6 is:
[tex]\sf 2(x + y) = 2r[/tex]
If we apply the distributive property, we multiply the 2 outside the parentheses by each term within the parentheses, resulting in:
[tex]\sf 2x + 2y = 2r[/tex]
Therefore, the reason the best supports Statement 7 is:
[tex]\Large\boxed{\sf Distributive\; Property}[/tex]