
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
Suppose a bucket when three-fourths full of water weighs $a$ kilograms and when one-third full weighs $b$ kilograms. Calculate the total weight of the bucket when completely full of water.
A) $\frac{3}{5}a - \frac{8}{5}b$
B) $\frac{8}{5}a - \frac{3}{5}b$
C) $\frac{2}{5}a + \frac{1}{5}b$
D) $\frac{10}{5}a - \frac{5}{5}b$
E) $\frac{6}{5}a - \frac{6}{5}b$

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