
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 6 hours, Dave can paint the room in 8 hours, and Mike can paint the same room in 10 hours. They decide to paint the room together but also take a two-hour break during the painting. Let \( t \) be the total time, in hours, required for them to complete the job working together, including their break. Which of the following equations should satisfy \( t \)?
A) \(\left(\frac{1}{6} + \frac{1}{8} + \frac{1}{10}\right)(t-2)=1\) 
B) \(\left(\frac{1}{6} + \frac{1}{8} + \frac{1}{10}\right)t+2=1\) 
C) \(\left(\frac{1}{6} + \frac{1}{8} + \frac{1}{10}\right)t=1\) 
D) \(\left(\frac{1}{6} + \frac{1}{8} + \frac{1}{10}\right)(t+2)=1\) 
E) \(\left(6+8+10\right)t=1\)

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