z-100+z=50+z-100-20

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Solution for z-100+z=50+z-100-20 equation:


Simplifying
z + -100 + z = 50 + z + -100 + -20

Reorder the terms:
-100 + z + z = 50 + z + -100 + -20

Combine like terms: z + z = 2z
-100 + 2z = 50 + z + -100 + -20

Reorder the terms:
-100 + 2z = 50 + -100 + -20 + z

Combine like terms: 50 + -100 = -50
-100 + 2z = -50 + -20 + z

Combine like terms: -50 + -20 = -70
-100 + 2z = -70 + z

Solving
-100 + 2z = -70 + z

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '-1z' to each side of the equation.
-100 + 2z + -1z = -70 + z + -1z

Combine like terms: 2z + -1z = 1z
-100 + 1z = -70 + z + -1z

Combine like terms: z + -1z = 0
-100 + 1z = -70 + 0
-100 + 1z = -70

Add '100' to each side of the equation.
-100 + 100 + 1z = -70 + 100

Combine like terms: -100 + 100 = 0
0 + 1z = -70 + 100
1z = -70 + 100

Combine like terms: -70 + 100 = 30
1z = 30

Divide each side by '1'.
z = 30

Simplifying
z = 30

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