
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
Three workers, Alpha, Beta, and Gamma, working together, complete a task in 4 hours less than Alpha would need alone, in 2 hours less than Beta alone, and in one-third the time that Gamma alone requires. Determine the value of $h$, where $h$ is the number of hours needed by Alpha and Beta, working together, to finish the task.

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