
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 circle touches the sides of an angle at the points \(A\) and \(B\). A point \(M\) is chosen on the circle. The distances from \(M\) to the sides of the angle are 24 and 6. Find the distance from \(M\) to the line \(AB\).

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