Visualize an abstract scene with mathematical elements to represent a algebra equation. The scene will include a balance scale with the left side heavier, signifying '10z - 6', and the right side lighter, representing '24', indicating an equation needs to be balanced. The 'z' should be artistically represented as a missing piece of a puzzle near the scale. Please ensure there are no numerical values or text in the image.

What is the solution of the equation 10z − 6 = 24 solving for z ?(1 point) Responses 1.8 1.8 0.4 0.4 3 3 −3

To solve the equation 10z - 6 = 24 for z, you would first add 6 to both sides of the equation:

10z - 6 + 6 = 24 + 6
10z = 30

Next, divide both sides of the equation by 10 to isolate z:

10z/10 = 30/10
z = 3

Therefore, the solution to the equation is z = 3.

To solve the equation 10z - 6 = 24 for z, we need to isolate the variable z on one side of the equation.

Step 1: Add 6 to both sides of the equation to eliminate the -6 on the left side:

10z - 6 + 6 = 24 + 6
10z = 30

Step 2: Divide both sides of the equation by 10 to isolate z:

10z/10 = 30/10
z = 3

Therefore, the solution to the equation 10z - 6 = 24 is z = 3.

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

Step 1: Add 6 to both sides of the equation:
10z - 6 + 6 = 24 + 6
10z = 30

Step 2: Divide both sides of the equation by 10:
10z/10 = 30/10
z = 3

Therefore, the solution to the equation 10z - 6 = 24 is z = 3.