Question

Solve the equation if possible. $$ 9-5 z=-8 z $$

Short answer

The solution to the equation is \( z = 3 \).

Step-by-step solution

Rearranging the equation

Start by moving all terms containing \( z \) to one side of the equation and remaining terms to the other side. This can be done by adding \( 5z \) to both sides of the equation. The equation then becomes: \( 9 = 3z \).

Solving for \( z \)

Finally, to solve for \( z \), divide both sides of the equation by 3. This gives: \( z = \frac{9}{3} \).