
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 a line $l$ with an inclination angle of $45^{\circ}$, line $l_{1}$ passes through points $A(3,2)$ and $B(a,-1)$, and $l_{1}$ is perpendicular to $l$. Line $l_{2}: 2x+by+1=0$ is parallel to line $l_{1}$. Find the value of $a+b$.

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