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Select all of the equations below that are equivalent to:\newlinep+7=13p + 7 = 13\newlineUse properties of equality.\newlineMulti-select Choices:\newline(A)p+7+3=16p + 7 + 3 = 16\newline(B)p+12=13+5p + 12 = 13 + 5\newline(C)p+11=13+4p + 11 = 13 + 4\newline(D)5+p+7=185 + p + 7 = 18

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Q. Select all of the equations below that are equivalent to:\newlinep+7=13p + 7 = 13\newlineUse properties of equality.\newlineMulti-select Choices:\newline(A)p+7+3=16p + 7 + 3 = 16\newline(B)p+12=13+5p + 12 = 13 + 5\newline(C)p+11=13+4p + 11 = 13 + 4\newline(D)5+p+7=185 + p + 7 = 18
  1. Perform Operations: To determine if an equation is equivalent to p+7=13p + 7 = 13, we can perform the same operations on both sides of the original equation and see if we get the new equation.\newlineLet's start with choice (A): p+7+3=16p + 7 + 3 = 16.\newlineWe add 33 to both sides of the original equation: (p+7)+3=13+3(p + 7) + 3 = 13 + 3.\newlineSimplify both sides: p+10=16p + 10 = 16.
  2. Check Choice (A): Now let's check if the simplified form of choice (A) matches our result.\newlineThe simplified form of choice (A) is p+10=16p + 10 = 16, which is not the same as our result p+10=16p + 10 = 16.\newlineThis means we made a mistake in our reasoning or calculation.

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