
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
Let the equation of line $l$ be $2x + (k - 3)y - 2k + 6 = 0 \ (k \neq 3)$. If the sum of intercepts of line $l$ on the $x$-axis and $y$-axis is 0, find the value of $k$.

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