
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
In the Cartesian coordinate system $(xOy)$, the parametric equation of line $l$ is given by $ \begin{cases} x=-3+t \\ y=1-t \end{cases} (t $ is the parameter$ )$. Establish a polar coordinate system with $O$ as the pole and the non-negative semi-axis of $x$ as the polar axis. Use the same length unit in both coordinate systems. The polar equation of curve $C$ is given by $ρ + 2\cos θ = 0$.
(1) Convert the polar equation of curve $C$ to a standard Cartesian equation.
(2) Find the polar coordinates $(ρ ≥ 0, 0 ≤ θ < 2π)$ of the intersection points of line $l$ and curve $C$.

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