
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
Given that the sum of all binomial coefficients in the binomial expansion of \\({{\\left( 2{{x}^{2}}-\\dfrac{1}{x} \\right)}^{n}}\\) is equal to $128$, find the coefficient of the term containing $\\dfrac{1}{x}$ in the expansion.

A) $-84$
B) $-14$
C) $14$
D) $84$

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