
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
Find the equation of the plane passing through the point $(1, 4, -8)$ and containing the line 
\[\frac{x - 2}{4} = \frac{y + 1}{-1} = \frac{z - 3}{5}.\]
Enter your answer in the form 
\[Ax + By + Cz + D = 0,\] 
where \(A, B, C, D\) are integers such that \(A > 0\) and \(\gcd(|A|,|B|,|C|,|D|) = 1.\)

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