
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
An urn contains  $4$  green balls and  $6$  blue balls. A second urn contains  $16$  green balls and  $N$  blue balls. A single ball is drawn at random from each urn. The probability that both balls are of the same color is  $0.58$ . Find  $N$ .

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