
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 one-third full of water, it weighs $a$ kilograms. When the bucket is three-quarters full of water, the total weight is $b$ kilograms. Calculate the total weight in kilograms when the bucket is completely full of water.

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