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Which property of equality is shown below?\newlineIf: 44c=76-44c = -76\newlineThen: 44c+d=76+d-44c + d = -76 + 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

Full solution

Q. Which property of equality is shown below?\newlineIf: 44c=76-44c = -76\newlineThen: 44c+d=76+d-44c + d = -76 + 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 Equations: Analyze the given equations.\newlineThe original equation is 44c=76-44c = -76. Then, a new term 'dd' is added to both sides of the equation, resulting in 44c+d=76+d-44c + d = -76 + d.
  2. Identify Operation: Identify the operation performed on both sides of the equation.\newlineThe operation performed is the addition of 'dd' to both sides of the original equation.
  3. Determine Property: Determine the property of equality used.\newlineSince the same value 'dd' is added to both sides of the equation, the property of equality that justifies this operation is the Addition Property of Equality.

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