Given that
\[\sin \left( \theta + \frac{\pi}{4} \right) = \frac{1}{3},\]compute $\sin 2 \theta.$
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Given that
\[\sin \left( \theta + \frac{\pi}{4} \right) = \frac{1}{3},\]compute $\sin 2 \theta.$
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
-\frac{7}{9}
Given that
\[\sin \left( \theta + \frac{\pi}{4} \right) = \frac{1}{3},\]compute $\sin 2 \theta.$
train