What is the solution of the equation 10z − 6 = 24

Question

solving for z
?(1 point)
Responses

0.4
0.4

1.8
1.8

3
3

−3
negative 3

Answer 1

To solve the equation \( 10z - 6 = 24 \) for \( z \), follow these steps:

1. Add 6 to both sides of the equation: \[ 10z - 6 + 6 = 24 + 6 \] This simplifies to: \[ 10z = 30 \]

2. Divide both sides by 10: \[ z = \frac{30}{10} \] This simplifies to: \[ z = 3 \]

So, the solution for \( z \) is \( 3 \).