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How many solutions does this equation have?\newlined=8d+9dd = -8d + 9d\newlineChoices:\newline(A)no solution\newline(B)one solution\newline(C)infinitely many solutions

Full solution

Q. How many solutions does this equation have?\newlined=8d+9dd = -8d + 9d\newlineChoices:\newline(A)no solution\newline(B)one solution\newline(C)infinitely many solutions
  1. Combine like terms: Simplify the equation by combining like terms on the right side.\newlined=8d+9dd = -8d + 9d\newline=d+(8+9)d= d + (-8 + 9)d\newline=d+1d= d + 1d\newline=2d= 2d
  2. Rewrite with simplified terms: Rewrite the equation with the simplified terms.\newlined=2dd = 2d
  3. Isolate the variable term: Subtract dd from both sides to isolate the variable term.dd=2ddd - d = 2d - d0=d0 = d

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