
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 function $f(x)= \frac {m}{e^{x}}+nx$.  
$(1)$ If the tangent line to the graph of $f(x)$ at the point $(0,f(0))$ is $y=-3x+2$, find the values of $m$ and $n$;  
$(2)$ When $n=1$, there exists at least one $x_{0}$ in the interval $(-\infty,1]$ such that $f(x_{0}) < 0$ holds, find the range of the real number $m$.

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