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Which property of equality is shown below?\newlineIf: −78n=2-78n = 2\newlineThen: −78n−(−27)=2−(−27)-78n - (-27) = 2 - (-27)\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: −78n=2-78n = 2\newlineThen: −78n−(−27)=2−(−27)-78n - (-27) = 2 - (-27)\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 performed on both sides of the equation.\newlineThe given equations are:\newlineIf: −78n=2-78n = 2\newlineThen: −78n−(−27)=2−(−27)-78n - (-27) = 2 - (-27)\newlineWe need to determine which operation is applied to both sides of the original equation.
  2. Analyze Change: Analyze the change from the original equation to the new equation.\newlineThe original equation is −78n=2-78n = 2. In the new equation, (−27)(-27) is subtracted from both sides of the original equation. However, subtracting a negative is the same as adding the positive value of that number. Therefore, we are effectively adding 2727 to both sides of the equation.
  3. Determine Property: Determine the property of equality used.\newlineSince we are adding 2727 to both sides of the equation, the property of equality that is being used is the Addition Property of Equality.

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