Question

1. -2z - 5 = -19

Explanation:

Step1: Add 5 to both sides

To isolate the term with \( z \), we add 5 to both sides of the equation \(-2z - 5 = -19\). This gives us \(-2z - 5 + 5 = -19 + 5\), which simplifies to \(-2z = -14\).

Step2: Divide by -2

Now, to solve for \( z \), we divide both sides of the equation \(-2z = -14\) by \(-2\). So, \(\frac{-2z}{-2} = \frac{-14}{-2}\), which simplifies to \( z = 7 \).

Answer:

\( z = 7 \)