
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
Given a worker's yearly salary of $48,000 with a 10% reduction, determine the percentage increase to the new salary required to restore the original salary, and the monetary difference in earnings for 6 months at the reduced salary before the increase takes effect.

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