
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
There is a list of nine numbers. The average of the first five numbers is $7$, and the average of the last five numbers is $9$. If the average of all nine numbers is $8\frac{1}{9}$, what is the number common to both groups of five numbers?
A) $6$
B) $7$
C) $8$
D) $9$
E) $10$

Present the answer in LaTex format: \boxed{Your answer}
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