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What value of zz is a solution to this equation?\newline3z=333z = 33\newlineChoices:\newline(A)z=11z = 11\newline(B)z=12z = 12

Full solution

Q. What value of zz is a solution to this equation?\newline3z=333z = 33\newlineChoices:\newline(A)z=11z = 11\newline(B)z=12z = 12
  1. Identify Operation: Identify the operation needed to solve for zz. The equation is 3z=333z = 33, which means we need to isolate zz by performing the inverse operation of multiplication, which is division.
  2. Divide by 33: Divide both sides of the equation by 33 to solve for zz. To isolate zz, we divide both sides of the equation by 33, which gives us z=333z = \frac{33}{3}.
  3. Perform Division: Perform the division to find the value of zz. Calculating 33/333 / 3 gives us z=11z = 11.
  4. Check Solution: Check the solution by substituting zz back into the original equation.\newlineSubstitute z=11z = 11 into the original equation to check if the left side equals the right side: 3×11=333 \times 11 = 33. This simplifies to 33=3333 = 33, which is true.