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Select all of the equations below that are equivalent to:\newline9=8z9 = 8z\newlineUse properties of equality.\newline\newlineMulti-select Choices:\newline(A) 13=8z+413 = 8z + 4\newline(B) 14=5+8z14 = 5 + 8z\newline(C) 11=8z+211 = 8z + 2\newline(D) 20=8z+1120 = 8z + 11

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Q. Select all of the equations below that are equivalent to:\newline9=8z9 = 8z\newlineUse properties of equality.\newline\newlineMulti-select Choices:\newline(A) 13=8z+413 = 8z + 4\newline(B) 14=5+8z14 = 5 + 8z\newline(C) 11=8z+211 = 8z + 2\newline(D) 20=8z+1120 = 8z + 11
  1. Check Option (A): To determine if an equation is equivalent to 9=8z9 = 8z, we need to check if the other side of the equation equals 99 when we isolate zz. Let's start with option (A) 13=8z+413 = 8z + 4. Subtract 44 from both sides to isolate the term with zz. 134=8z+4413 - 4 = 8z + 4 - 4 9=8z9 = 8z This is equivalent to the original equation.
  2. Check Option (B): Now let's check option (B) 14=5+8z14 = 5 + 8z.
    Subtract 55 from both sides to isolate the term with zz.
    145=5+8z514 - 5 = 5 + 8z - 5
    9=8z9 = 8z
    This is also equivalent to the original equation.
  3. Evaluate Option (C): Next, let's evaluate option (C) 11=8z+211 = 8z + 2. Subtract 22 from both sides to isolate the term with zz. 112=8z+2211 - 2 = 8z + 2 - 2 9=8z9 = 8z This is equivalent to the original equation.
  4. Examine Option (D): Finally, let's look at option (D) 20=8z+1120 = 8z + 11. Subtract 1111 from both sides to isolate the term with zz. 2011=8z+111120 - 11 = 8z + 11 - 11 9=8z9 = 8z This is equivalent to the original equation.

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