
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
There is a two-pan balance scale, 4 weights of 2 kg, 3 weights of 3 kg, and 2 weights weighing 5 kg. In how many different ways can a load of 12 kg be balanced on the scale, if the weights are allowed to be placed on both pans?

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