Final answer:
The property illustrated in the given statement is the distributive property of multiplication over addition. It states that multiplying the sum of two numbers by another number gives the same result as multiplying each number individually by the same number and then adding the products.
Step-by-step explanation:
The property illustrated in the given statement is the distributive property of multiplication over addition. This property states that for any real numbers a, b, and c, multiplying the sum of a and b by c will give the same result as multiplying a by c and adding it to the product of b and c.
In the given statement, (t+2) is multiplied by 8 on the left side, and (t+2) is also multiplied by 8 on the right side. This demonstrates the distributive property, as the multiplication is distributed over the addition of t and 2.
Thus, the property illustrated in the statement is the distributive property of multiplication over addition.