
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
The sum of three numbers \( a, b, \) and \( c \) is 90. If we decrease \( a \) by 7, we get the value \( N \). If we increase \( b \) by 7, we get the value \( N \). If we multiply \( c \) by 5, we also get the value \( N \). What is the value of \( N \)?

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