
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 $\bar{a}=(2,1), \bar{b}=(1,-2)$, if $m\bar{a}+n\bar{b}=(9,-8) (m,n\in R)$, find the value of $m-n$.

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