z-1=9-2z-1

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Solution for z-1=9-2z-1 equation:


Simplifying
z + -1 = 9 + -2z + -1

Reorder the terms:
-1 + z = 9 + -2z + -1

Reorder the terms:
-1 + z = 9 + -1 + -2z

Combine like terms: 9 + -1 = 8
-1 + z = 8 + -2z

Solving
-1 + z = 8 + -2z

Solving for variable 'z'.

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

Add '2z' to each side of the equation.
-1 + z + 2z = 8 + -2z + 2z

Combine like terms: z + 2z = 3z
-1 + 3z = 8 + -2z + 2z

Combine like terms: -2z + 2z = 0
-1 + 3z = 8 + 0
-1 + 3z = 8

Add '1' to each side of the equation.
-1 + 1 + 3z = 8 + 1

Combine like terms: -1 + 1 = 0
0 + 3z = 8 + 1
3z = 8 + 1

Combine like terms: 8 + 1 = 9
3z = 9

Divide each side by '3'.
z = 3

Simplifying
z = 3

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