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:

\( z = 28 \)