Question

14z + 96 = 28z - 100 z = ?

Answer 1

`z=-48/43`

Explanation:

Move all terms containing `z` to one side and keep all other terms on another side:

`14z-14z+96=28z-14z-100z`

`96=28z-14z-100z`

(If we want to move `14z` from the left side to the right side, we'll need to subtract `14z` from each side.)

Now, simplify the side containing `z`'s by subtracting:

`96=-86z`

Solve for `z` . This means dividing each side by `-86`, which would mean `-86` cancels out on the left side.

`(-96/86)=((cancel-86)/(cancel-86))z`

`z=(-96/86)`

Simplify:

`z=-48/43`

Answer 2

`z=14`

Explanation:

Combine like terms on both sides.
`14z+96=28z-100`
`14z-14z+96=28z-14z-100`
`96=14z-100`
`96+100=14z-100+100`
`196=14z`
Divide
`196/14=(14z)/14`
`z=14`

Answer 3

`z=14`

Explanation:

We can start by adding 100 to both sides, and we get:

`14z+196=28z`

We want to get the constant on one side and the variables on the other. So we can subtract `14z` from both sides, and we get:

`196=14z`

Swapping the sides:

`14z=196`

We can divide both sides by `14` to get:

`z=14`