Question

solve for z. -40 = \frac{z}{-7} + -36

Explanation:

Step1: Add 36 to both sides

To isolate the term with \( z \), we add 36 to both sides of the equation \(-40 = \frac{z}{-7} + (-36)\).
\[
-40 + 36 = \frac{z}{-7} + (-36) + 36
\]
Simplifying the left and right sides:
\[
-4 = \frac{z}{-7}
\]

Step2: Multiply both sides by -7

To solve for \( z \), we multiply both sides of the equation \(-4 = \frac{z}{-7}\) by -7.
\[
-4 \times (-7) = \frac{z}{-7} \times (-7)
\]
Simplifying both sides:
\[
28 = z
\]

Answer:

\( z = 28 \)