
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 $ \left|BC\right| \equal{} a$ ,  $ \left|AC\right| \equal{} b$ ,  $ \left|AB\right| \equal{} c$ ,  $ 3\angle A \plus{} \angle B \equal{} 180{}^\circ$  and  $ 3a \equal{} 2c$, find $b$ in terms of $a$.

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