
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
Jenny wants to determine the average amount of candies in a package of candies. She buys 9 packages, opens them, and counts the candies in each one. She finds that the packages contain 3, 5, 7, 8, 10, 12, 14, 15, and 18 candies. However, she later discovers that three of the packages (the ones that initially seemed to have 10, 12, and 15 candies) actually contained double the amount she counted. Based on these corrected observations, what is the average number of candies in a package?

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