
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 circle $M$: $((x-a)^{2}+(y-4)^{2}=r^{2}(r > 0))$ passes through points $O(0,0)$, $A(6,0)$.
(I) Find the values of $a$ and $r$;
(II) If circle $M$ intercepts the chord length of line $4x+3y+m=0$ as $6$, find the value of $m$.

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