
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
Given two parallel lines l1: 2x - y + a = 0, l2: 2x - y + a² + 1 = 0, and a circle x² + y² + 2x - 4 = 0, determine the range of values for 'a' when the lines and the circle are tangent to each other.

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