
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
An ant is on one face of a cube.  At every step, the ant walks to one of its four neighboring faces with equal probability.  What is the expected (average) number of steps for it to reach the face opposite its starting face?

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