
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 that the polar equation of ellipse $C$ is $ρ^2=\frac{12}{3\cos^2θ+4\sin^2θ}$, points $F_1$ and $F_2$ are its left and right foci, and the parametric equation of line $l$ is $\begin{cases} x=2+\frac{\sqrt{2}}{2}t, \\ y=\frac{\sqrt{2}}{2}t \end{cases}$ ($t$ is the parameter, $t∈R$).

(1) Find the ordinary equations of line $l$ and curve $C$;

(2) Find the sum of the distances from points $F_1$ and $F_2$ to line $l$.

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