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Which property of equality is shown below?\newlineIf: 68c=6468 - c = 64\newlineThen: (68c)99=6499(68 - c) \cdot -99 = 64 \cdot -99\newlineChoices:\newline(A) Addition Property of Equality\newline(B) Subtraction Property of Equality\newline(C) Multiplication Property of Equality\newline(D) Division Property of Equality

Full solution

Q. Which property of equality is shown below?\newlineIf: 68c=6468 - c = 64\newlineThen: (68c)99=6499(68 - c) \cdot -99 = 64 \cdot -99\newlineChoices:\newline(A) Addition Property of Equality\newline(B) Subtraction Property of Equality\newline(C) Multiplication Property of Equality\newline(D) Division Property of Equality
  1. Identify Operation: Identify the operation applied to both sides of the original equation.\newlineOriginal equation: 68c=6468 - c = 64\newlineOperation applied: Multiplication by 99-99 to both sides.\newline(68c)99=6499(68 - c) \cdot -99 = 64 \cdot -99
  2. Operation Correspondence: Determine which property of equality corresponds to the operation used.\newlineSince we are multiplying both sides of the equation by the same number (99(-99), the property of equality being used is the Multiplication Property of Equality.

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