Let's break down the steps Max takes to transform his number, which we'll call [tex]\( n \)[/tex].
First, Max adds 8 to his number [tex]\( n \)[/tex]:
[tex]\[ n + 8 \][/tex]
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:
[tex]\[ 2 \times (n + 8) \][/tex]
Therefore, the expression to represent Max's number after he adds 8 and then doubles the sum is:
[tex]\[ 2(n + 8) \][/tex]
This expression reflects the series of operations Max applies to his original number [tex]\( n \)[/tex].