
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 collection of red, blue, and green marbles, there are $50\%$ more red marbles than blue marbles, and there are $80\%$ more green marbles than red marbles. Suppose that there are $r$ red marbles, and let $b$ and $g$ denote the number of blue and green marbles, respectively. Express the total number of marbles in the collection in terms of $r$.

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