
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
Given that out of 200 students, 70% like dancing and the remaining students dislike it, and among those who like dancing, 85% honestly say they like it while the rest say they dislike it, and among those who dislike dancing, 20% inaccurately say they like it, determine the fraction of the students who say they like dancing that actually dislike it.

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