
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 club now has 30 members, 12 of whom are left-handed. 20 members like jazz music, and 5 are right-handed who dislike jazz music and do not play basketball. 10 members play basketball, including 3 left-handed who also like jazz music. How many club members are left-handed, like jazz music, but do not play basketball?

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