
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 that $\frac{2}{3}$ of the marbles are blue and the rest are red, what fraction of the marbles will be red after the number of red marbles is doubled and the number of blue marbles is increased by 50%?

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