
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
Pablo had four times as many coins as Sofia, who in turn had three times as many coins as Mia. Each of them ends up with an equal number of coins after Pablo distributes some of his coins. Determine the fraction of his coins that Pablo distributes to Sofia and Mia together.

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