
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
From a specific type of metal, several balls of equal mass for bearings and several piston rings of equal mass were made. If the number representing the mass of each ball in grams was 2 less than the number of rings made, and the number representing the mass of each ring in grams was 2 more than the number of balls made, then the number representing their total mass would exceed twice the difference between the number of rings and balls by 800 grams. Moreover, if the number representing the mass of each item in grams equaled the number of items made of that type, the total mass would be 881 grams. How many balls and rings were made?

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