
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
Doug can paint a room in 5 hours, Dave in 7 hours, and Ella in 10 hours. They decide to paint the room together but also take a 2-hour lunch break. Let $t$ be the total time, in hours, it takes them to finish painting the room, including their break. How long does it take for them to finish the painting including the break? Frame the equation for $t$.
A) $\frac{70}{31}$  
B) $\frac{132}{31}$  
C) $\frac{102}{31}$  
D) $\frac{140}{31}$

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