
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 three non-negative numbers $a$, $b$, and $c$ satisfy $3a + 2b + c = 5$ and $2a + b - 3c = 1$. If $m = 3a + b - 7c$, then the minimum value of $m$ is $\boxed{-\frac{5}{7}}$, and the maximum value of $m$ is $\boxed{-\frac{1}{11}}$.

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