
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 line $l$ passes through the intersection point $P$ of the lines $3x + 4y - 2 = 0$ and $2x + y + 2 = 0$.
(1) If line $l$ is perpendicular to the line $x - 2y - 1 = 0$, find the equation of line $l$;
(2) If line $l$ is parallel to the line $AB$ passing through points $A(8, -6)$ and $B(2, 2)$, find the equation of line $l$.

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