
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 circle M be defined by the equation $x^2 + y^2 + 2x - 15 = 0$, with center M, point N(1, 0), and P as a moving point on circle M. The perpendicular bisector of line segment PN intersects with radius PM at point Q. Let the trajectory of point Q be curve E.
(I) Find the equation of curve E;
(II) If line l: $x = my - 4$ ($m \in \mathbb{R}$) intersects curve E at points A and B, point A' is the reflection of point A about the x-axis, and line A'B intersects the x-axis at point D, find the equation of line l when the area of △DAB is maximum.

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