Question

-19 + 2z = -21

Explanation:

Step1: Add 19 to both sides

To isolate the term with \( z \), we add 19 to both sides of the equation \(-19 + 2z = -21\). This gives us \(-19 + 19 + 2z = -21 + 19\). Simplifying the left side, \(-19 + 19 = 0\), so we have \( 2z = -21 + 19 \). Calculating the right side, \(-21 + 19 = -2\), so now the equation is \( 2z = -2 \).

Step2: Divide both sides by 2

To solve for \( z \), we divide both sides of the equation \( 2z = -2 \) by 2. This gives us \( \frac{2z}{2} = \frac{-2}{2} \). Simplifying both sides, we get \( z = -1 \).

Answer:

\( z = -1 \)