
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 real numbers $m$ and $n$ that satisfy $2m - n = 3$.
1. Find the range of real number $m$ if $|m| + |n + 3| \geq 9$.
2. Find the minimum value of $| \frac{5}{3}m - \frac{1}{3}n| + | \frac{1}{3}m - \frac{2}{3}n|$.

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