
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
There are three straight lines, each of which passes through four points of the form $(2,0,a), (b,2,0), (0,c,2),$ and $(8d,4d,-2d),$ where $a, b, c,$ and $d$ are real numbers. Determine all possible values of $d$ such that the points are collinear.

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