A translation of the plane takes $5 + 5i$ to $6 + 8i.$  Find the complex number that the translation takes $-6$ to.
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
A translation of the plane takes $5 + 5i$ to $6 + 8i.$  Find the complex number that the translation takes $-6$ to.
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
-5 + 3i
A translation of the plane takes $5 + 5i$ to $6 + 8i.$  Find the complex number that the translation takes $-6$ to.
train