
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
Two identical parts are processed on two machines. The productivity of the first machine is 40% higher than the productivity of the second. How many parts were processed per shift on each machine if the first worked 6 hours, and the second worked 8 hours, with both machines processing a total of 820 parts together?

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