To solve the equation \(-5z + 5 = 12\), follow these steps:
- Subtract 5 from both sides of the equation:
\[ -5z + 5 - 5 = 12 - 5 \]
This simplifies to:
\[ -5z = 7 \]
- Next, divide both sides by -5:
\[ z = \frac{7}{-5} \]
This simplifies to:
\[ z = -\frac{7}{5} \]
So the solution is:
\[ z = -1.4 \]