
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 the pole of the polar coordinate system is located at the origin $O$ of the rectangular coordinate system, the polar axis coincides with the positive semi-axis of the $x$-axis, and their unit lengths are the same. The polar coordinate equation of line $l$ is: $\sqrt {2}ρ\sin (θ- \dfrac {π}{4})=10$, and the curve $C$ is defined by: $\begin{cases} x=2\cos α \\ y=2+2\sin α \end{cases}(α \text{ is a parameter}),$ where $α∈[0,2π)$.
(I) Write the rectangular coordinate equation of line $l$ and the general equation of curve $C$;
(II) If point $P$ is a moving point on curve $C$, find the maximum distance from point $P$ to line $l$.

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