To simplify the expression \(-45.93 + 112 + (-61.24)\), you can proceed step by step:
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Combine \(-45.93\) and \(112\): \[ -45.93 + 112 = 66.07 \]
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Next, add \(-61.24\) to the result: \[ 66.07 + (-61.24) = 66.07 - 61.24 = 4.83 \]
Therefore, the simplified expression is: \[ \boxed{4.83} \]