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Which property of equality is shown below?\newlineIf: 2166=p21 - 66 = p\newlineThen: q(2166)=qpq(21 - 66) = qp\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: 2166=p21 - 66 = p\newlineThen: q(2166)=qpq(21 - 66) = qp\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 Expressions: Analyze the given expressions.\newlineThe original equation is 2166=p21 - 66 = p. Then, it is given that q(2166)=qpq(21 - 66) = qp.\newlineWe need to identify which operation is applied to both sides of the original equation.
  2. Identify Operation: Identify the operation used.\newlineThe operation used is multiplication by qq on both sides of the equation.\newline2166=p21 - 66 = p becomes q(2166)=qpq(21 - 66) = qp when multiplied by qq on both sides.
  3. Determine Property: Determine the property of equality.\newlineSince we are multiplying both sides of the equation by the same number qq, we are using the Multiplication Property of Equality.

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