To solve the equation \( 8z + 15 + z = 96 \), we can first combine like terms on the left side.
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Combine the \( z \) terms: \[ 8z + z = 9z \] So, the equation becomes: \[ 9z + 15 = 96 \]
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Next, isolate the \( z \) term by subtracting 15 from both sides: \[ 9z = 96 - 15 \] \[ 9z = 81 \]
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Now, divide both sides by 9 to solve for \( z \): \[ z = \frac{81}{9} \] \[ z = 9 \]
Thus, the solution is: \[ \boxed{9} \]