
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 parametric equation of a parabola as \\(\begin{cases}x=2pt^{2} \\\\ y=2pt\\end{cases} (t\\) is the parameter\\()\\), where \\(p > 0\\), the focus is point \\(F\\), the directrix is line \\(l\\), and a line perpendicular to \\(l\\) passes through a point \\(M\\) on the parabola, with the foot of the perpendicular being \\(E\\). If \\(|EF|=|MF|\\) and the x-coordinate of point \\(M\\) is \\(6\\), find the value of \\(p\\).

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