To solve the expression \(-25 + 102 - 35 + 13 - 100\), let's break it down step by step:
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Start with \(-25 + 102\): \[ -25 + 102 = 77 \]
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Next, subtract \(35\): \[ 77 - 35 = 42 \]
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Then add \(13\): \[ 42 + 13 = 55 \]
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Finally, subtract \(100\): \[ 55 - 100 = -45 \]
So, the final result is: \[ \boxed{-45} \]