
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
As is well known, balance scales reach equilibrium when both pans have the same weight. On one pan of the scales lie 9 identical diamonds, and on the other - 4 identical emeralds. If one more of the same emerald is added to the side with the diamonds, the scales will balance. How many diamonds will balance one emerald? Justify your answer.

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