
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
The temperature change of an object at room temperature can be described by Newton's Law of Cooling: suppose the initial temperature of the object is $T_0$, and its temperature after a certain time $t$ is $T$. Then, the equation $T - T_a = (T_0 - T_a) \left(\frac{1}{2}\right)^{\frac{t}{h}}$ describes this process, where $T_a$ represents the ambient temperature and $h$ is known as the half-life. Consider a cup of instant coffee made with hot water at 88°C placed in a room at 24°C. If the coffee cools to 40°C in 20 minutes, how many more minutes are needed for the coffee to cool from 40°C to 32°C?

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