
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
Two arithmetic sequences $C$ and $D$ both start at 20. The sequence $C$ has a common difference of 12 and is increasing, while sequence $D$ has a common difference of 6 and is decreasing. What is the absolute value of the difference between the 101st terms of sequences $C$ and $D$?

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