
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 community group of 25 people, 10 are left-handed. 18 people like rock music. 3 are right-handed and do not like rock music. How many group members are left-handed and like rock music? Assume all individuals are either left-handed or right-handed.

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