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Which property of equality is shown below?\newlineIf: v+26=37v + 26 = 37\newlineThen: v+2656=3756v + 26 - 56 = 37 - 56\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: v+26=37v + 26 = 37\newlineThen: v+2656=3756v + 26 - 56 = 37 - 56\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: Analyze the given equations to identify the operation performed.\newlineThe original equation is v+26=37v + 26 = 37. The operation performed on both sides of the equation is the subtraction of 5656, resulting in the new equation v+2656=3756v + 26 - 56 = 37 - 56.
  2. Property of Equality: Determine which property of equality corresponds to the operation performed.\newlineSince we are subtracting the same value 5656 from both sides of the equation, we are using the Subtraction Property of Equality. This property states that if you subtract the same number from both sides of an equation, the two sides remain equal.
  3. Verify Correctness: Verify that no mathematical errors have been made in the previous steps.\newlineThe operation of subtracting 5656 from both sides of the equation has been correctly identified, and the corresponding property of equality has been correctly matched to this operation.

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