
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
Let \\(f(x)= \dfrac {(4x+a)\ln x}{3x+1}\\), the tangent line of the curve \\(y=f(x)\\) at the point \\((1,f(1))\\) is perpendicular to the line \\(x+y+1=0\\).  
\\((1)\\) Find the value of \\(a\\);  
\\((2)\\) If for any \\(x \in [1,+\infty)\\), \\(f(x) \leqslant m(x-1)\\) always holds, find the range of \\(m\\).

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