
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 a store sells a model of windows at $120 each and is offering a special deal: for every five windows bought, the sixth one is free, and a total discount of 5% is applied to any purchase of more than ten windows, determine the total amount of money that Nina and Carl will save if they buy nine windows and eleven windows together rather than separately.

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