
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
Given the equations $2003C - 4004A = 8008$ and $2003B + 6006A = 10010$, find the average of A, B, and C, assuming that B is 6 units less than twice A ($B = 2A - 6$).
A) 2
B) 3
C) 4
D) 5
E) Not uniquely determined

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