She either won or lost 60 games because 100 - 40 = <<100-40=60>>60

We know that 1(60-Losses) -2(Losses) = -30 because she lost $30

Therefore 60 - Losses - 2 Losses= -30

Therefore - 3 Losses = -90

Therefore, Losses = <<30=30>>30

# Answer

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<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Sarah is playing tic-tac-toe. She wins $1 for every game she wins, $0 for every game she ties, and she loses $2 for every game she loses. If she played 100 games where she tied 40 of them, and she lost $30, how many games did she win?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
30
Sarah is playing tic-tac-toe. She wins $1 for every game she wins, $0 for every game she ties, and she loses $2 for every game she loses. If she played 100 games where she tied 40 of them, and she lost $30, how many games did she win?
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