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Answer: See explanation

Step-by-step explanation:

From the question, we are told to prove that prove d + (8d + 1) + 7 is equivalent to 8 + 9d.

= d + (8d + 1) + 7

First we need to open the bracket. This will be:

= d + (8d + 1) + 7

= d + 8d + 1 + 7

Collect like terms

= 9d + 8

= 8 + 9d

Therefore, we have proven that + (8d + 1) + 7 is equivalent to 8 + 9d.

**Answer:**

**Use the associative property to move the parentheses, and the expression becomes (d + 8d) + 1 + 7. Combine like terms, and the expression becomes 9d +8. Use the commutative property to change the order of the terms, and the expression becomes 8 + 9d.**

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