
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
Aunt Masha decided to bake a cake. She prepared a dough that, according to the recipe, includes flour, butter, and sugar in a weight ratio of $3:2:1$, and mixed butter with sugar for the cream in a ratio of 2:3. Changing her mind about baking the cake, she combined both mixtures, added 200 grams of flour, and prepared dough for cookies, in which flour, butter, and sugar are in a ratio of $5:3:2$. How much butter did Aunt Masha use? Answer in grams.

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