
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 a set of data for two variables $x$ and $y$ with a linear relationship: $\left(2,15\right)$, $\left(3,m\right)$, $\left(4,30\right)$, $\left(5,35\right)$. According to the data above, the regression line equation of $y$ with respect to $x$ is $\hat{y}=7x+0.5$. Find the real number $m$.

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