Given that both $i - 3$ and $b$ are roots of $ax^3 + 9x^2 + ax - 30,$ where $a$ and $b$ are real numbers, find $a + b.$
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Given that both $i - 3$ and $b$ are roots of $ax^3 + 9x^2 + ax - 30,$ where $a$ and $b$ are real numbers, find $a + b.$
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
\frac{7}{2}
Given that both $i - 3$ and $b$ are roots of $ax^3 + 9x^2 + ax - 30,$ where $a$ and $b$ are real numbers, find $a + b.$
train