
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 150. If we increase \(a\) by 10, decrease \(b\) by 3, and multiply \(c\) by 4, the three resulting numbers are equal. What is the value of \(b\)?

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