
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
Karl can paint a room in 6 hours. Leo can paint the same room in 8 hours. They decide to work together and take a 30-minute tea break during their work. Let $t$ be the total time, in hours, required for them to complete painting the room together, including the break. Which of the following equations is satisfied by $t$?
A) $\left(\frac{1}{6}+\frac{1}{8}\right)(t-0.5)=1$
B) $\left(\frac{1}{6}+\frac{1}{8}\right)t+0.5=1$
C) $\left(\frac{1}{6}+\frac{1}{8}\right)t=1$
D) $\left(\frac{1}{6}+\frac{1}{8}\right)(t+0.5)=1$
E) $(6+8)t=1$

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