
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 that $e\_1$ and $e\_2$ are two non-collinear vectors, $\overrightarrow{AB} = e\_1 + e\_2$, $\overrightarrow{CB} = -λe\_1 - 8e\_2$, and $\overrightarrow{CD} = 3e\_1 - 3e\_2$. If points A, B, and D are on the same line, find the value of the real number $λ$.

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