
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 the circle $C: x^2 + y^2 + 8x + 15 = 0$, if there exists at least one point on the line $y = kx - 2$ such that a circle with this point as its center and a radius of $1$ has a common point with circle $C$, then the range of the real number $k$ is ______.

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