
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 lines $l\_1$ and $l\_2$ are parallel, where $l\_1$ is defined by the equation $mx + 8y + n = 0$ and $l\_2$ by $2x + my - 1 = 0$. The distance between $l\_1$ and $l\_2$ is $\sqrt{5}$. Find the equation of line $l\_1$.

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