
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 two lines $l_1: 3x + 4y - 2 = 0$ and $l_2: 2x + y + 2 = 0$ intersect at point $P$,

(1) Find the equation of the line $l_4$ that passes through point $P$ and is parallel to line $l_3: x - 2y - 1 = 0$;

(2) If the line $l_5: ax - 2y + 1 = 0$ is perpendicular to line $l_2$, find the value of $a$.

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