
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 arithmetic mean of a set of 60 numbers is 42. If two numbers of the set, namely 50 and 60, are discarded, and each of the remaining numbers is increased by 2, calculate the new arithmetic mean of the modified set.

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