2z-2=3z-1

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Solution for 2z-2=3z-1 equation:


Simplifying
2z + -2 = 3z + -1

Reorder the terms:
-2 + 2z = 3z + -1

Reorder the terms:
-2 + 2z = -1 + 3z

Solving
-2 + 2z = -1 + 3z

Solving for variable 'z'.

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

Add '-3z' to each side of the equation.
-2 + 2z + -3z = -1 + 3z + -3z

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

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

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

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

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

Divide each side by '-1'.
z = -1

Simplifying
z = -1

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