
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
Before the arrival of Labor Day in 2023, the price department of a certain city surveyed the daily sales volume and prices of a certain product in 5 shopping malls in the city. The data between the price $x$ (in yuan) and the sales volume $y$ (in units) of this product in the 5 shopping malls is shown in the table below:

| Price $x$ | $8$ | $9.5$ | $m$ | $10.5$ | $12$ |
|-----------|-----|-------|-----|--------|-----|
| Sales Volume $y$ | $16$ | $10$ | $8$ | $6$ | $5$ |

It is known from the analysis that there is a strong linear relationship between the sales volume $y$ and the price $x$ in yuan. The linear regression equation is $\hat{y}=-3.5x+44$. Find the value of $m$.

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