
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
If $\frac{b}{a} = 3$ and $\frac{c}{b} = 4$, what is the ratio of $2a + b$ to $b + 2c$?
**A)** $\frac{2}{3}$
**B)** $\frac{5}{27}$
**C)** $\frac{1}{3}$
**D)** $\frac{4}{11}$
**E)** $\frac{7}{28}$

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