-0.17(z-0.2)=-0.5(z+2)

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Solution for -0.17(z-0.2)=-0.5(z+2) equation: 


Simplifying
-0.17(z + -0.2) = -0.5(z + 2)

Reorder the terms:
-0.17(-0.2 + z) = -0.5(z + 2)
(-0.2 * -0.17 + z * -0.17) = -0.5(z + 2)
(0.034 + -0.17z) = -0.5(z + 2)

Reorder the terms:
0.034 + -0.17z = -0.5(2 + z)
0.034 + -0.17z = (2 * -0.5 + z * -0.5)
0.034 + -0.17z = (-1 + -0.5z)

Solving
0.034 + -0.17z = -1 + -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.
0.034 + -0.17z + 0.5z = -1 + -0.5z + 0.5z

Combine like terms: -0.17z + 0.5z = 0.33z
0.034 + 0.33z = -1 + -0.5z + 0.5z

Combine like terms: -0.5z + 0.5z = 0.0
0.034 + 0.33z = -1 + 0.0
0.034 + 0.33z = -1

Add '-0.034' to each side of the equation.
0.034 + -0.034 + 0.33z = -1 + -0.034

Combine like terms: 0.034 + -0.034 = 0.000
0.000 + 0.33z = -1 + -0.034
0.33z = -1 + -0.034

Combine like terms: -1 + -0.034 = -1.034
0.33z = -1.034

Divide each side by '0.33'.
z = -3.133333333

Simplifying
z = -3.133333333

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