
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
An internet company promotes its products through the WeChat platform on mobile phones. The preliminary statistics on the WeChat promotion costs $x$ and profits $y$ (unit: hundred thousand yuan) for the first $5$ months of this year are as follows:

| $x$ | $2$ | $4$ | $5$ | $6$ | $8$ |
|-----|-----|-----|-----|-----|-----|
| $y$ | $30$ | $40$ | $60$ | $p$ | $70$ |

After calculating, it is found that the monthly WeChat promotion cost $x$ and monthly profit $y$ satisfy the linear regression equation $\hat{y}=6.5x+17.5$. The value of $p$ is ______.

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