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Solve for z. Assume the equation has a solution for z. {:[-cz+6z=tz+83],[z=◻]:}

Solve for z z .\newlineAssume the equation has a solution for z z .\newline−cz+6z=tz+83z=□ \begin{array}{l} -c z+6 z=t z+83 \\ z=\square \end{array}

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Full solution

Q. Solve for z z .\newlineAssume the equation has a solution for z z .\newline−cz+6z=tz+83z=□ \begin{array}{l} -c z+6 z=t z+83 \\ z=\square \end{array}
  1. Combine like terms: Combine like terms on the left side of the equation.\newline−cz+6z=tz+83-cz + 6z = tz + 83\newline(6−c)z=tz+83(6 - c)z = tz + 83
  2. Subtract zz terms: Subtract tztz from both sides to get zz terms on one side.\newline(6−c)z−tz=83(6 - c)z - tz = 83\newline(6−c−t)z=83(6 - c - t)z = 83
  3. Divide to solve for zz: Divide both sides by (6−c−t)(6 - c - t) to solve for zz.z=83(6−c−t)z = \frac{83}{(6 - c - t)}

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