
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 the coordinate system and parametric equation, a line $l$ passes through the fixed point $P(-3,-\frac{3}{2})$ and intersects with the circle $C$: $ \begin{cases} x=5\cos θ \\ y=5\sin θ \end{cases}(\theta\text{ is the parameter}) $ at points $A$ and $B$.

1. If $|AB|=8$, find the equation of line $l$.
2. If point $P(-3,-\frac{3}{2})$ is the midpoint of chord $AB$, find the equation of chord $AB$.

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