
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 parametric equations of a line $l$ is $\begin{cases} x=a-2t \\ y=-4t\end{cases}$ (where $t$ is the parameter), and the parametric equations of a circle $C$ is $\begin{cases} x=4\cos\theta \\ y=4\sin\theta\end{cases}$ (where $\theta$ is a constant).

(1) Find the standard equations of line $l$ and circle $C$.
(2) If line $l$ and circle $C$ have common points, determine the range of values for the real number $a$.

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