Solve for the given variable.

-2/5z+2=12

1 answer

To solve the equation \(-\frac{2}{5}z + 2 = 12\), follow these steps:

  1. Subtract 2 from both sides: \[ -\frac{2}{5}z = 12 - 2 \] \[ -\frac{2}{5}z = 10 \]

  2. 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: \[ z = -25 \]