
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 the line $l\_1$: $(m+1)x-(m-3)y-8=0 (m∈R)$, the line $l\_1$ always passes through the fixed point $\_\_\_\_\_\_$. If a line $l\_2$ is drawn through the origin such that it is parallel to $l\_1$, the equation of the line $l\_2$ when the distance between $l\_1$ and $l\_2$ is maximum is $\_\_\_\_\_\_$.

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