
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 that $\frac{a}{30-a} + \frac{b}{70-b} + \frac{c}{80-c} = 8$, evaluate $\frac{6}{30-a} + \frac{14}{70-b} + \frac{16}{80-c}$.

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