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

3 Answers
Feb 22, 2018

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

Feb 22, 2018

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

Feb 22, 2018

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