The dilation, centered at the origin, with scale factor $-3,$ takes $4 - 5i$ to which complex number?
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
The dilation, centered at the origin, with scale factor $-3,$ takes $4 - 5i$ to which complex number?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
-12 + 15i
The dilation, centered at the origin, with scale factor $-3,$ takes $4 - 5i$ to which complex number?
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