
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
Let $\overrightarrow a$ and $\overrightarrow b$ be two non-collinear plane vectors. Given $\overrightarrow m=\overrightarrow a-2\overrightarrow b$ and $\overrightarrow n=3\overrightarrow a+k\overrightarrow b$ ($k\in\mathbb{R}$), find the value of $k$ such that $\overrightarrow m$ is parallel to $\overrightarrow n$.

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