
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
There are 5 bags, each containing balls of a single color. The number of balls in each bag is 7, 15, 16, 10, and 23. There are 3 colors: red, yellow, and blue. It is known that there is only one bag of red balls. The number of yellow balls is double the number of blue balls. Determine the number of red balls.

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