
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
In a larger club of 50 people, 22 of them are left-handed, 35 of them like jazz music, and 5 of them are right-handed and dislike jazz music. In addition, 10 members wear glasses. How many club members are left-handed, like jazz music, and do not wear glasses? Assume people are either left-handed or right-handed, but not both, and wearing glasses is independent of other characteristics.

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