What is the solution of the equation 10z − 6 = 24 solving for z ?(1 point)

Responses

−3
negative 3

0.4
0.4

1.8
1.8

3
3

1 answer

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. Now, divide both sides by 10: \[ z = \frac{30}{10} \] This simplifies to: \[ z = 3 \]

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