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Which property of equality is shown below?\newlineIf: q=39pq = -39 - p\newlineThen: q37=39p37\frac{q}{-37} = \frac{-39 - p}{-37}\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: q=39pq = -39 - p\newlineThen: q37=39p37\frac{q}{-37} = \frac{-39 - p}{-37}\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.\newlineWe have the original equation: q=39pq = -39 - p\newlineAnd the transformed equation: q37=3937p37\frac{q}{-37} = \frac{-39}{-37} - \frac{p}{-37}\newlineIdentify the operation performed on both sides of the original equation.
  2. Identify Operation: Determine the property of equality used.\newlineThe operation of dividing both sides of the equation by 37-37 is observed.\newlineq=39pq = -39 - p\newlineDivide by 37-37 on both sides.\newlineq37=3937p37\frac{q}{-37} = \frac{-39}{-37} - \frac{p}{-37}
  3. Determine Property: Match the operation to the correct property of equality.\newlineSince division is applied to both sides of the equation, the property of equality used is the "Division Property of Equality."

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