
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 Ms. Fleming has three packages with weights that sum up to 112 kg, 118 kg, and 120 kg, each obtained by weighing the packages in pairs in every possible combination, calculate the total mass of the three packages.

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