
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
Consider a sequence $(v_n)$ where each term follows the relation:
\[ v_{n+2} = 3v_{n+1} - 2v_n \]
Given that $v_3 = 5$ and $v_6 = -76$, find the value of $v_5$.

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