
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
If \(a, b\) are nonzero values and \(3a - \frac{b}{3} \neq 0\), find the value of:
\[
\left( 3a - \frac{b}{3} \right)^{-1} \left[ (3a)^{-1} - \left( \frac{b}{3} \right)^{-1} \right]
\]
**A)** \( ab \)
**B)** \( ab^{-1} \)
**C)** \( a^{-1}b \)
**D)** \( -a^{-1}b^{-1} \)
**E)** \( (ab)^{-1} \)

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