
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
The tank has the shape of a rectangular parallelepiped, with its width being half of its length. It is filled to three-eighths of its height. When 76 hectoliters [1 hectoliter $=0.1$ m$^3$] are added, the water level rises by 0.38 m. After this, two-sevenths of the tank remain to be filled.

What is the height of the tank?

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