
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
Suppose the coordinate system and parameter equation $4-4$:

In the rectangular coordinate system, the parameter equation of line $l$ is $\begin{cases} x = 6 + \frac{\sqrt{2}}{2}t \\ y = \frac{\sqrt{2}}{2}t \end{cases}$ (where $t$ is a parameter). Establish a polar coordinate system with the coordinate origin as the pole and the positive semi-axis of the $x$-axis as the polar axis. The polar equation of curve $C$ is $ρ = 6 \cos θ$.

1. Write the ordinary equation of line $l$ and the rectangular coordinate equation of curve $C$.
2. Line $l_1$, passing through point $M(-1, 0)$ and parallel to line $l$, intersects curve $C$ at points $A$ and $B$. Calculate $|AB|$.

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