
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
Alice is preparing muffins for a gathering. If she distributes the muffins equally among $9$ of her friends, she has $5$ muffins left over. If she divides them equally among $5$ friends, she has $2$ muffins left over. Assuming Alice made fewer than $90$ muffins, what is the sum of the possible numbers of muffins that Alice could have made?

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