
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
Consider a large wooden cube of side length $n$ units, where $n$ is a positive integer greater than 3, and each outer surface is painted red. This cube is cut into smaller cubes of 1 unit each. Calculate the value of $n$ such that the number of unit cubes with exactly two faces painted is equal to the number of unit cubes with exactly one face painted.
A) 3
B) 4
C) 5
D) 6
E) none of these

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