
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
A triangle has vertices $A=(-2,3)$, $B=(-6,-8)$, and $C=(4,-1)$. The equation of the bisector of $\angle B$ can be written in the form $5x+4y+c=0$. Find $c+5$.

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