
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 basketball game, making a shot from outside the three-point line scores 3 points, making a shot from inside the three-point line scores 2 points, and making a free throw scores 1 point. A team scored 65 points by making a total of 32 shots in a game. It is known that the number of 2-point shots is 3 more than 4 times the number of 3-point shots. How many free throws did the team make?

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