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which properties where used in [38 + 677] + (-38) [677 + 38] + (-38) 677 + [38 + (-38)] 677 + 0 677
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old question but will respond so this can be closed starting with [38 + 677] + (-38), notice how 1. they swapped the order of addition between 677 and 38 2. they changed the brackets 3. they set 38 + (-38) equal to 0 4. they stated that 677 + 0 is equal to itself there's a property for each of these steps. if you're not sure, please review https://www.chilimath.com/lessons/introductory-algebra/basic-number-properties/
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