
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 function $f(x)=|2x-a|+a$.
- (I) If the solution set of the inequality $f(x) \leqslant 6$ is $\{x|-2 \leqslant x \leqslant 3\}$, find the value of the real number $a$;
- (II) Under the condition of (I), if there exists a real number $n$ such that $f(n) \leqslant m-f(-n)$ holds, find the range of the real number $m$.

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