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Which property of equality is shown below?\newlineIf: 7982=c79 \cdot -82 = c\newlineThen: 7982d=cd\frac{79 \cdot -82}{d} = \frac{c}{d}\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

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Q. Which property of equality is shown below?\newlineIf: 7982=c79 \cdot -82 = c\newlineThen: 7982d=cd\frac{79 \cdot -82}{d} = \frac{c}{d}\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 Expressions: Analyze the given expressions.\newlineWe have the original equation: 7982=c79 \cdot -82 = c\newlineAnd the transformed equation: 7982d=cd\frac{79 \cdot -82}{d} = \frac{c}{d}\newlineWe need to identify which operation is applied to both sides of the original equation to obtain the transformed equation.
  2. Identify Operation Used: Identify the operation used.\newlineBy comparing the original and the transformed equations, we can see that both sides of the original equation have been divided by dd.\newline79(82)=c79 \cdot (–82) = c becomes 79(82)d=cd\frac{79 \cdot (–82)}{d} = \frac{c}{d} after the division.
  3. Determine Property of Equality Used: Determine the property of equality used.\newlineSince we have divided both sides of the equation by the same non-zero number dd, we have used the "Division Property of Equality". This property states that if you divide both sides of an equation by the same non-zero number, the two sides remain equal.

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