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Select all of the equations below that are equivalent to:\newline8=11d8 = 11 - d\newlineUse properties of equality.\newlineMulti-select Choices:\newline(A) 2=11d42 = 11 - d - 4\newline(B) 4=11d64 = 11 - d - 6\newline(C) 3=11d53 = 11 - d - 5\newline(D) 4=11d54 = 11 - d - 5

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Q. Select all of the equations below that are equivalent to:\newline8=11d8 = 11 - d\newlineUse properties of equality.\newlineMulti-select Choices:\newline(A) 2=11d42 = 11 - d - 4\newline(B) 4=11d64 = 11 - d - 6\newline(C) 3=11d53 = 11 - d - 5\newline(D) 4=11d54 = 11 - d - 5
  1. Given Equation: We are given the equation 8=11d8 = 11 - d. To find equivalent equations, we need to ensure that any transformations we apply to the equation do not change its meaning. Let's evaluate each choice by applying the properties of equality to see if they are equivalent to the given equation.
  2. Choice (A): For choice (A) 2=11d42 = 11 - d - 4, we can simplify the right side by combining like terms: 114=711 - 4 = 7. So, the equation becomes 2=7d2 = 7 - d. This is not equivalent to the original equation because 828 \neq 2.
  3. Choice (B): For choice (B) 4=11d64 = 11 - d - 6, we can simplify the right side by combining like terms: 116=511 - 6 = 5. So, the equation becomes 4=5d4 = 5 - d. This is not equivalent to the original equation because 848 \neq 4.
  4. Choice (C): For choice (C) 3=11d53 = 11 - d - 5, we can simplify the right side by combining like terms: 115=611 - 5 = 6. So, the equation becomes 3=6d3 = 6 - d. This is not equivalent to the original equation because 838 \neq 3.
  5. Choice (D): For choice (D) 4=11d54 = 11 - d - 5, we can simplify the right side by combining like terms: 115=611 - 5 = 6. So, the equation becomes 4=6d4 = 6 - d. This is not equivalent to the original equation because 848 \neq 4.

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