
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 $l_1$: $(m+1)x-(m-3)y-8=0$ ($m\in\mathbb{R}$), then the line $l_1$ always passes through a fixed point \_\_\_\_\_\_. If a line $l_2$ parallel to $l_1$ passes through the origin, then when the distance between line $l_1$ and $l_2$ is maximized, the equation of line $l_2$ is \_\_\_\_\_\_.

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