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How many solutions does this equation have?\newline6+m=m-6 + m = m\newlineChoices:\newline(A)no solution\newline(B)one solution\newline(C)infinitely many solutions

Full solution

Q. How many solutions does this equation have?\newline6+m=m-6 + m = m\newlineChoices:\newline(A)no solution\newline(B)one solution\newline(C)infinitely many solutions
  1. Isolate mm: Simplify the equation by isolating mm on one side.\newline6+m=m-6 + m = m\newlineSubtract mm from both sides:\newline6+mm=mm-6 + m - m = m - m\newline6=0-6 = 0
  2. Subtract and Simplify: Analyze the simplified equation.\newlineSince 60-6 \neq 0, the equation has no valid solutions where both sides are equal.

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