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Key Concept

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Subtraction Property of Equality

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For any real number a, b, c, if a = b then ac = bc

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The given equation is 27 + n = 46

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27 + n – 27 = 46 – 27          (Subtract 46 from each side)

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n = 46 – 27                          (Additive inverse property: 27 – 27 = 0)

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n = 19                                  (Subtract: 46 – 27 = 19)  

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Verify the solution:

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Substitute x value in original equation.

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27 + 19 = 46      \ \

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46 = 46                          (Add: 27 + 19 = 46)

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The solution is true.

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The value of n = 19 .