Question

5(2z - 9) = -35

Explanation:

Step1: Divide both sides by 5

To isolate the term with \( z \), we divide both sides of the equation \( 5(2z - 9)=- 35 \) by 5.
\( \frac{5(2z - 9)}{5}=\frac{-35}{5} \)
Simplifying, we get \( 2z - 9=-7 \).

Step2: Add 9 to both sides

Now, we add 9 to both sides of the equation \( 2z - 9=-7 \) to isolate the term with \( z \).
\( 2z-9 + 9=-7 + 9 \)
Simplifying, we get \( 2z = 2 \).

Step3: Divide both sides by 2

Finally, we divide both sides of the equation \( 2z = 2 \) by 2 to solve for \( z \).
\( \frac{2z}{2}=\frac{2}{2} \)
Simplifying, we get \( z = 1 \).

Answer:

\( z = 1 \)