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Which property of equality is shown below?\newlineIf: 84=qr84 = q - r\newlineThen: 8434=(qr)3484 \cdot -34 = (q - r) \cdot -34\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: 84=qr84 = q - r\newlineThen: 8434=(qr)3484 \cdot -34 = (q - r) \cdot -34\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. Analyze Given Statements: Analyze the given statements.\newlineIf: 84=qr84 = q - r\newlineThen: 84(34)=(qr)(34)84 \cdot (-34) = (q - r) \cdot (-34)\newlineWhich operation is used on both sides?\newlineThe multiplication operation is applied to both sides of the equation by multiplying with (34)(-34).
  2. Operation Used: Identify the property of equality used.\newlineBy multiplying both sides of the equation by (34)(-34), the equation remains balanced.\newlineThis is an application of the "Multiplication Property of Equality."

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