
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
If a platoon of soldiers is divided into brigades of 7 people each, 2 soldiers will not be included in any brigade. If the platoon is divided into brigades of 12 people each, again 2 soldiers will not be included in any brigade. What is the minimum number of soldiers that need to be added to the platoon so that it can be entirely divided into brigades of 7 people and brigades of 12 people?

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