
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 a line $l$ passing through point $P(2, 3)$,

(1) If the sum of the intercepts of line $l$ on the x-axis and y-axis equals 0, find the equation of line $l$;  
(2) If the area of the triangle formed by line $l$ and the two coordinate axes in the first quadrant is 16, find the equation of line $l$.

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