
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
David made 18 of his first 45 shots in the first three basketball games, resulting in a seasonal shooting average of 40%. In his next game, he took 15 shots and raised his seasonal shooting average to 55%. Calculate the number of shots he made in the next game.

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