Verified Answer :

Let's break down the steps Max takes to transform his number, which we'll call \(\( n \)\).

First, Max adds 8 to his number \(\( n \)\):
\(\[ n + 8 \]\)

After adding 8 to his number, Max then doubles the sum. To double something means to multiply it by 2. So we take the sum from the first step and multiply it by 2:
\(\[ 2 \times (n + 8) \]\)

Therefore, the expression to represent Max's number after he adds 8 and then doubles the sum is:
\(\[ 2(n + 8) \]\)

This expression reflects the series of operations Max applies to his original number \(\( n \)\).