To solve the expression \(3 - (-1) + (-3) - 12\), we can follow the order of operations step by step:
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Start with \(3 - (-1)\): \[ 3 - (-1) = 3 + 1 = 4 \]
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Now substitute this result back into the expression: \[ 4 + (-3) - 12 \]
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Next, calculate \(4 + (-3)\): \[ 4 - 3 = 1 \]
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Now substitute this result back into the expression: \[ 1 - 12 \]
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Finally, calculate \(1 - 12\): \[ 1 - 12 = -11 \]
So, the final result is \(-11\).