
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
A man hired a worker for a year, promising to give him 12 rubles and a coat. However, after working for 7 months, the worker wanted to leave and asked for appropriate payment along with the coat. He was given 5 rubles and the coat. What was the value of the coat? Give the answer in rubles, rounding to the nearest hundredth if necessary.

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