-0.5(z+0.5)=-0.1(z-1.5)

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Solution for -0.5(z+0.5)=-0.1(z-1.5) equation: 


Simplifying
-0.5(z + 0.5) = -0.1(z + -1.5)

Reorder the terms:
-0.5(0.5 + z) = -0.1(z + -1.5)
(0.5 * -0.5 + z * -0.5) = -0.1(z + -1.5)
(-0.25 + -0.5z) = -0.1(z + -1.5)

Reorder the terms:
-0.25 + -0.5z = -0.1(-1.5 + z)
-0.25 + -0.5z = (-1.5 * -0.1 + z * -0.1)
-0.25 + -0.5z = (0.15 + -0.1z)

Solving
-0.25 + -0.5z = 0.15 + -0.1z

Solving for variable 'z'.

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

Add '0.1z' to each side of the equation.
-0.25 + -0.5z + 0.1z = 0.15 + -0.1z + 0.1z

Combine like terms: -0.5z + 0.1z = -0.4z
-0.25 + -0.4z = 0.15 + -0.1z + 0.1z

Combine like terms: -0.1z + 0.1z = 0.0
-0.25 + -0.4z = 0.15 + 0.0
-0.25 + -0.4z = 0.15

Add '0.25' to each side of the equation.
-0.25 + 0.25 + -0.4z = 0.15 + 0.25

Combine like terms: -0.25 + 0.25 = 0.00
0.00 + -0.4z = 0.15 + 0.25
-0.4z = 0.15 + 0.25

Combine like terms: 0.15 + 0.25 = 0.4
-0.4z = 0.4

Divide each side by '-0.4'.
z = -1

Simplifying
z = -1

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