To solve the equation \(-1 + 8z = -73\), follow these steps:
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Add 1 to both sides to eliminate the -1: \[ -1 + 8z + 1 = -73 + 1 \] This simplifies to: \[ 8z = -72 \]
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Divide both sides by 8 to solve for \(z\): \[ z = \frac{-72}{8} \] This simplifies to: \[ z = -9 \]
Therefore, the solution for \(z\) is \(-9\).