
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
A group of $n$ numbers has the original sum $s$. If each number of the group is increased by $10$, then multiplied by $3$, and finally decreased by $15$, find the sum of the new modified numbers.
**A)** $3s + 10n$  
**B)** $3s + 15n$  
**C)** $2s + 10n$  
**D)** $4s + 10n$

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