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:
\[ z - 1 = \frac{50}{10} \]
This simplifies to:
\[ z - 1 = 5 \]
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Next, add 1 to both sides:
\[ z = 5 + 1 \]
Therefore:
\[ z = 6 \]
So, the solution for \( z \) is \( \boxed{6} \).