
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
The perimeter of the triangle

The angle bisector from vertex \(N\) of triangle \(MNP\) divides side \(MP\) into segments of 28 and 12.

Find the perimeter of triangle \(MNP\), given that \(MN - NP = 18\).

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