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How many solutions does this equation have?\newline5z=6z+8-5z = -6z + 8\newlineChoices:\newline(A)no solution\newline(B)one solution\newline(C)infinitely many solutions

Full solution

Q. How many solutions does this equation have?\newline5z=6z+8-5z = -6z + 8\newlineChoices:\newline(A)no solution\newline(B)one solution\newline(C)infinitely many solutions
  1. Add 6z6z: Add 6z6z to both sides of the equation to isolate the variable zz on one side.\newline5z+6z=6z+6z+8-5z + 6z = -6z + 6z + 8\newline1z=81z = 8
  2. Simplify the equation: Simplify the equation. z=8z = 8
  3. Determine solutions: Determine the number of solutions.\newlineSince we have a value for zz, there is only one solution to the equation.

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