Twice the amount Nigel originally had is 2 * 45 = <<2*45=90>>90 dollars

Now, Nigel has 10 dollars more, meaning that he has 10 + 90 = <<10+90=100>>100 dollars

Before his mother gave him 80 dollars, he had been left with 100 - 80 = <<100-80=20>>20 dollars

This means that Nigel gave away 45 - 20 = <<45-20=25>>25 dollars

# Answer

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<|im_start|>user
Nigel won $45 but gave some away. His mother gave him $80 more. If now Nigel has $10 more than twice the amount he originally had, how much money did he give away?
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user
25
Nigel won $45 but gave some away. His mother gave him $80 more. If now Nigel has $10 more than twice the amount he originally had, how much money did he give away?
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