
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, the line $y=2x+5$ is translated down along the $y$-axis by $m\left(m \gt 0\right)$ units and passes through the point $\left(-2,-6\right)$ exactly.  
$(1)$ Find the value of $m$.  
$(2)$ The range of the independent variable $x$ of the part of the translated line below the $x$-axis is ______.

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