0.5z+0.5=1.5z-0.5

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Solution for 0.5z+0.5=1.5z-0.5 equation: 


Simplifying
0.5z + 0.5 = 1.5z + -0.5

Reorder the terms:
0.5 + 0.5z = 1.5z + -0.5

Reorder the terms:
0.5 + 0.5z = -0.5 + 1.5z

Solving
0.5 + 0.5z = -0.5 + 1.5z

Solving for variable 'z'.

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

Add '-1.5z' to each side of the equation.
0.5 + 0.5z + -1.5z = -0.5 + 1.5z + -1.5z

Combine like terms: 0.5z + -1.5z = -1z
0.5 + -1z = -0.5 + 1.5z + -1.5z

Combine like terms: 1.5z + -1.5z = 0.0
0.5 + -1z = -0.5 + 0.0
0.5 + -1z = -0.5

Add '-0.5' to each side of the equation.
0.5 + -0.5 + -1z = -0.5 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + -1z = -0.5 + -0.5
-1z = -0.5 + -0.5

Combine like terms: -0.5 + -0.5 = -1
-1z = -1

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

Simplifying
z = 1

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