
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 \(a\) and \(b\) are non-zero real numbers such that \(\frac{2a-b}{a+4b} = 3\). What is the value of \(\frac{a-4b}{2a+b}\)?
**A)** \(\frac{12}{13}\)\quad
**B)** \(\frac{3}{2}\)\quad
**C)** \(\frac{17}{25}\)\quad
**D)** \(\frac{4}{17}\)\quad
**E)** \(-4\)

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