
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
Team A needs 6 hours, Team B needs 7 hours, and Team C needs 14 hours to move all goods in a warehouse. There are two identical warehouses $A$ and $B$, and Team A starts moving goods in warehouse $A$ while Team B starts in warehouse $B$ at the same time. Team C first helps Team A and later helps Team B. Both warehouse $A$ and $B$ finish moving goods at the same time. How many hours did Team C help Team A and how many hours did Team C help Team B?

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