Explain how to use properties to prove d + (8d + 1) + 7 is equivalent to 8 + 9d.

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.