To solve the equation \(-\frac{2}{5}z + 2 = 12\), follow these steps:
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Subtract 2 from both sides: \[ -\frac{2}{5}z = 12 - 2 \] \[ -\frac{2}{5}z = 10 \]
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Multiply both sides by \(-\frac{5}{2}\) to isolate \(z\): \[ z = 10 \times \left(-\frac{5}{2}\right) \] \[ z = -\frac{50}{2} \] \[ z = -25 \]
The solution is: \[ z = -25 \]