Select all of the equations below that are equivalent to: 62 = v + w Use properties of equality. Multi-select Choices: (A)–31 = v + w/–2 (B)2 = v + w/31 (C)–2 = v + w/–31 (D)31 = v + w/2

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Select all of the equations below that are equivalent to:  62 = v + w Use properties of equality.    Multi-select Choices: (A)–31 = v + w/–2 (B)2 = v + w/31 (C)–2 = v + w/–31 (D)31 = v + w/2

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Identify Equation: Identify the original equation and understand the task. The original equation is 62 = v + w. We need to find which of the given choices are equivalent to this equation by using properties of equality.Analyze Choice (A): Analyze choice (A) –31 = v + w/–2. To check if this equation is equivalent to the original, we can multiply both sides of the equation by –2 to see if we get the original equation. –31 * (–2) = (v + w/–2) * (–2) 62 = v + w This shows that choice (A) is equivalent to the original equation.Analyze Choice (B): Analyze choice (B) 2 = v + w/31. To check if this equation is equivalent to the original, we can multiply both sides of the equation by 31 to see if we get the original equation. 2 * 31 = (v + w/31) * 31 62 = v + w This shows that choice (B) is equivalent to the original equation.Analyze Choice (C): Analyze choice (C) –2 = v + w/–31. To check if this equation is equivalent to the original, we can multiply both sides of the equation by –31 to see if we get the original equation. –2 * (–31) = (v + w/–31) * (–31) 62 = v + w This shows that choice (C) is equivalent to the original equation.Analyze Choice (D): Analyze choice (D) 31 = v + w/2. To check if this equation is equivalent to the original, we can multiply both sides of the equation by 2 to see if we get the original equation. 31 * 2 = (v + w/2) * 2 62 = v + w This shows that choice (D) is equivalent to the original equation.

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