
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 the reaction rates are denoted as \( \rm{v(A)} \), \( \rm{v(B)} \), and \( \rm{v(C)} \) in mol·\( \left( \rm{L·s} \right)^{-1} \), and the relationship between \( \rm{v(A)} \), \( \rm{v(B)} \), and \( \rm{v(C)} \) is given by \( \rm{v(B) = 3v(A)} \) and \( \rm{3v(C) = 2v(B)} \), determine the balanced chemical equation for the reaction where \( \rm{A} \) reacts with \( \rm{B} \) to produce \( \rm{C} \).

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