
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
Using small cubes with an edge length of $m$ to form a larger cube with an edge length of 12, paint the surface of the larger cube (6 faces) red. The number of small cubes with only one face painted red is equal to the number of small cubes with exactly two faces painted red. Determine the value of $m$.

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