
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
In the rectangular coordinate system $(xOy)$, with the coordinate origin $O$ as the pole and the positive semi-axis of $x$ as the polar axis, the polar coordinate system is established. Given the line $l$: $ρ=- \frac{6}{3\cos θ +4\sin θ}$, and the curve $C$: $\begin{cases} \overset{x=3+5\cos α}{y=5+5\sin α} \end{cases}(α$ is the parameter$)$．
(I) Convert the line $l$ into rectangular equation and the curve $C$ into polar coordinate equation;
(II) If the line $l$ is moved up $m$ units and is tangent to the curve $C$, find the value of $m$.

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