Select all of the equations below that are equivalent to: 2 = –16 + m Use properties of equality. Multi-select Choices: (A)24 = (–16 + m) · 12 (B)40 = 20(–16 + m) (C)–5 · 2 = 80 + –5m (D)44 = 22(–16 + m)

Question

Select all of the equations below that are equivalent to:  2 = –16 + m Use properties of equality.    Multi-select Choices: (A)24 = (–16  +  m)  ·  12 (B)40 = 20(–16  +  m) (C)–5  ·  2 = 80  +  –5m (D)44 = 22(–16  +  m)

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Simplify Equation: To determine if an equation is equivalent to 2 = –16 + m, we can simplify or manipulate the given choices to see if they reduce to the original equation.Check Choice (A): For choice (A) 24 = (–16 + m) · 12, we can divide both sides by 12 to see if it simplifies to the original equation. 24 / 12 = (–16 + m) · 12 / 12 2 = –16 + m This is the same as the original equation.Check Choice (B): For choice (B) 40 = 20(–16 + m), we can divide both sides by 20 to see if it simplifies to the original equation. 40 / 20 = 20(–16 + m) / 20 2 = –16 + m This is the same as the original equation.Check Choice (C): For choice (C) –5 · 2 = 80 + –5m, we can simplify the left side and then divide both sides by –5 to see if it simplifies to the original equation. –5 · 2 = –10 –10 = 80 + –5m Now, divide both sides by –5: –10 / –5 = (80 + –5m) / –5 2 = –16 + m This is the same as the original equation.Check Choice (D): For choice (D) 44 = 22(–16 + m), we can divide both sides by 22 to see if it simplifies to the original equation. 44 / 22 = 22(–16 + m) / 22 2 = –16 + m This is the same as the original equation.

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