
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
Let's say you have three numbers A, B, and C, which satisfy the equations $2002C + 4004A = 8008$, and $3003B - 5005A = 7007$. What is the average of A, B, and C?
**A)** $\frac{7}{3}$   
**B)** $7$  
**C)** $\frac{26}{9}$  
**D)** $\frac{22}{9}$  
**E)** $0$

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