
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 $D$ be a point on line segment $\overline{AE}$ such that point $B$ lies on segment $\overline{AD}$ and point $C$ lies on segment $\overline{DE}$. The length of $\overline{AB}$ is $3$ units plus three times the length of $\overline{BD}$, and the length of $\overline{CE}$ is $2$ units plus twice the length of $\overline{CD}$. If $\overline{AE} = 20$ units, find the length of $\overline{BC}$.
A) 2 units
B) 3 units
C) 4 units
D) 5 units

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