
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
In a bag, the ratio of the number of red balls to white balls is 19:13. After adding some red balls, the ratio becomes 5:3. After adding some white balls, the ratio changes to 13:11. It is known that the number of red balls added is 80 less than the number of white balls added. How many balls were there in the bag originally?

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