
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-fourths full of water, the total weight is c kilograms. When the bucket is one-third full, the total weight is d kilograms. Determine the total weight in kilograms when the bucket is fully filled, in terms of c and d.
A) \( \frac{7c - 2d}{4} \)
B) \( \frac{8c - 2d}{5} \)
C) \( \frac{8c - 3d}{5} \)
D) \( \frac{9c - 4d}{5} \)

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