
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 automated production lines produce identical products but have different productivity rates. The combined productivity of all three lines working simultaneously is 1.5 times greater than the combined productivity of the first and second lines working simultaneously. The first line's shift assignment can be completed 4 hours and 48 minutes faster by the second and third lines working together than by the first line alone. The second line completes the same assignment 2 hours quicker than the first line. How many hours does it take the first line to complete its shift assignment?

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