
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
Given Maria starts with 80 red marbles and 60 blue marbles. She can exchange three red marbles for one gold marble and two blue marbles, or four blue marbles for one gold marble and one red marble. Determine the number of gold marbles Maria will have at the end.

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