
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

Three buckets, labelled \(A, B\), and \(C\), are filled with water.

- The amount of water in bucket \(A\) is 6 litres more than half of the amount in bucket \(C\).
- The amount of water in bucket \(B\) is the average (mean) of the amounts in buckets \(A\) and \(C\).
- The amount of water in bucket \(C\) is \(18t + 8\) litres.

In total, how many litres of water are there in the three buckets?

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