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How many solutions does this equation have?\newline2d+9=2d-2d + 9 = -2d\newlineChoices:\newline(A)no solution\newline(B)one solution\newline(C)infinitely many solutions

Full solution

Q. How many solutions does this equation have?\newline2d+9=2d-2d + 9 = -2d\newlineChoices:\newline(A)no solution\newline(B)one solution\newline(C)infinitely many solutions
  1. Analyze the equation: Analyze the equation 2d+9=2d-2d + 9 = -2d to see if there are any like terms that can be combined or canceled out.\newline2d+9=2d-2d + 9 = -2d\newlineSubtract 2d-2d from both sides to isolate the constant term.\newline2d+9(2d)=2d(2d)-2d + 9 - (-2d) = -2d - (-2d)
  2. Subtract to isolate constant: Simplify both sides of the equation after subtracting 2d-2d. \newline9=09 = 0\newlineThis simplification is incorrect because subtracting 2d-2d from both sides should cancel out the 2d-2d terms, not result in 9=09 = 0.

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