4z-1.5=2z-3

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Solution for 4z-1.5=2z-3 equation:


Simplifying
4z + -1.5 = 2z + -3

Reorder the terms:
-1.5 + 4z = 2z + -3

Reorder the terms:
-1.5 + 4z = -3 + 2z

Solving
-1.5 + 4z = -3 + 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.
-1.5 + 4z + -2z = -3 + 2z + -2z

Combine like terms: 4z + -2z = 2z
-1.5 + 2z = -3 + 2z + -2z

Combine like terms: 2z + -2z = 0
-1.5 + 2z = -3 + 0
-1.5 + 2z = -3

Add '1.5' to each side of the equation.
-1.5 + 1.5 + 2z = -3 + 1.5

Combine like terms: -1.5 + 1.5 = 0.0
0.0 + 2z = -3 + 1.5
2z = -3 + 1.5

Combine like terms: -3 + 1.5 = -1.5
2z = -1.5

Divide each side by '2'.
z = -0.75

Simplifying
z = -0.75

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