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How many solutions does this equation have?\newline3z=6z3z3z = 6z - 3z\newlineChoices:\newline(A)no solution\newline(B)one solution\newline(C)infinitely many solutions

Full solution

Q. How many solutions does this equation have?\newline3z=6z3z3z = 6z - 3z\newlineChoices:\newline(A)no solution\newline(B)one solution\newline(C)infinitely many solutions
  1. Combine like terms: Simplify the right side of the equation by combining like terms.\newline3z=6z3z3z = 6z - 3z\newline=(63)z= (6 - 3)z\newline=3z= 3z
  2. Equation with infinite solutions: Now we have the equation 3z=3z3z = 3z. This is true for every value of zz. Therefore, the equation has an infinite number of solutions.

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