
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
When a bucket is three-quarters full of water, the bucket and water weigh $c$ kilograms. When the bucket is one-third full of water, the total weight is $d$ kilograms. In terms of $c$ and $d$, what is the total weight in kilograms when the bucket is full of water?
A) $\frac{7c}{5} - \frac{2d}{5}$
B) $\frac{8c}{5} - \frac{3d}{5}$
C) $\frac{9c}{5} - \frac{4d}{5}$
D) $\frac{10c}{5} - \frac{5d}{5}$

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