To solve the equation \( 10(z - 1) = 50 \) for \( z \), follow these steps:
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Divide both sides of the equation by 10: \[ z - 1 = 5 \]
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Add 1 to both sides to isolate \( z \): \[ z = 5 + 1 \] \[ z = 6 \]
Thus, the solution for \( z \) is \( z = 6 \).