
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
Cora and Javier are sharing the costs of a project. Initially, they paid $P$ and $Q$ dollars respectively, for the total expenses of the project. However, an additional cost of $R$ dollars was incurred at the end and was paid by Cora. If $R = 3Q - 2P$ and $P < Q$, how much more must Javier pay to Cora so that they share all the costs equally?
A) $\frac{P - Q}{2}$
B) $\frac{Q - P}{2}$
C) $\frac{2Q - P}{2}$
D) $2Q - P$

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