Solve the equation 0.25 (8z - 4) = z + 8 - 2z

Distribute

2z-1=z+8-2z

add like terms

2z-1=-z+8

add z to both sides

3z-1=8

add 1 to both sides

3z=9

divide both sides by 3

z=3

First you have to combine the like terms of z and 2z on the left side. Then you must distribute the 0.25 to 8z and - 4. So then your equation should look like this:

2z - 1 = 8 - 1z

So now you add 1z to both sides. The 1z on the right cancels out and now you have 3z - 1 = 8

Next you add 1 to both sides and it cancels out on the left: 3z = 9

Then you just divide by 3 on both sides to get the variable by itself. The 3 on the left cancels out and 9 divided by 3 equals 3! So z = 3