
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 that there are two alloys with different percentages of copper, with alloy A weighing 40 kg and alloy B weighing 60 kg, a piece of equal weight is cut from each of these two alloys, and each cut piece is then melted together with the remaining part of the other alloy, determine the weight of the alloy cut.

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