Final answer:
To solve the equation -cz + 6z = tz = 83 for z, you can start by combining like terms, factoring out z, and then dividing both sides of the equation by (-c + 6 - t) to solve for z.
Step-by-step explanation:
To solve the equation -cz + 6z = tz = 83 for z, you can start by combining like terms. This will give you -cz + 6z - tz = 83. Next, you can factor out z from the equation, giving you z(-c + 6 - t) = 83. Finally, divide both sides of the equation by (-c + 6 - t) to solve for z.
Example: If the value of -c + 6 - t is 2, then the equation becomes z(2) = 83, which simplifies to 2z = 83. Divide both sides by 2 to find that z = 41.5.