0.125(z-3)=0.5(z+0.5)

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Solution for 0.125(z-3)=0.5(z+0.5) equation: 


Simplifying
0.125(z + -3) = 0.5(z + 0.5)

Reorder the terms:
0.125(-3 + z) = 0.5(z + 0.5)
(-3 * 0.125 + z * 0.125) = 0.5(z + 0.5)
(-0.375 + 0.125z) = 0.5(z + 0.5)

Reorder the terms:
-0.375 + 0.125z = 0.5(0.5 + z)
-0.375 + 0.125z = (0.5 * 0.5 + z * 0.5)
-0.375 + 0.125z = (0.25 + 0.5z)

Solving
-0.375 + 0.125z = 0.25 + 0.5z

Solving for variable 'z'.

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

Add '-0.5z' to each side of the equation.
-0.375 + 0.125z + -0.5z = 0.25 + 0.5z + -0.5z

Combine like terms: 0.125z + -0.5z = -0.375z
-0.375 + -0.375z = 0.25 + 0.5z + -0.5z

Combine like terms: 0.5z + -0.5z = 0.0
-0.375 + -0.375z = 0.25 + 0.0
-0.375 + -0.375z = 0.25

Add '0.375' to each side of the equation.
-0.375 + 0.375 + -0.375z = 0.25 + 0.375

Combine like terms: -0.375 + 0.375 = 0.000
0.000 + -0.375z = 0.25 + 0.375
-0.375z = 0.25 + 0.375

Combine like terms: 0.25 + 0.375 = 0.625
-0.375z = 0.625

Divide each side by '-0.375'.
z = -1.666666667

Simplifying
z = -1.666666667

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