0.17(z+0.2)=-0.8(z+0.125)

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Solution for 0.17(z+0.2)=-0.8(z+0.125) equation: 


Simplifying
0.17(z + 0.2) = -0.8(z + 0.125)

Reorder the terms:
0.17(0.2 + z) = -0.8(z + 0.125)
(0.2 * 0.17 + z * 0.17) = -0.8(z + 0.125)
(0.034 + 0.17z) = -0.8(z + 0.125)

Reorder the terms:
0.034 + 0.17z = -0.8(0.125 + z)
0.034 + 0.17z = (0.125 * -0.8 + z * -0.8)
0.034 + 0.17z = (-0.1 + -0.8z)

Solving
0.034 + 0.17z = -0.1 + -0.8z

Solving for variable 'z'.

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

Add '0.8z' to each side of the equation.
0.034 + 0.17z + 0.8z = -0.1 + -0.8z + 0.8z

Combine like terms: 0.17z + 0.8z = 0.97z
0.034 + 0.97z = -0.1 + -0.8z + 0.8z

Combine like terms: -0.8z + 0.8z = 0.0
0.034 + 0.97z = -0.1 + 0.0
0.034 + 0.97z = -0.1

Add '-0.034' to each side of the equation.
0.034 + -0.034 + 0.97z = -0.1 + -0.034

Combine like terms: 0.034 + -0.034 = 0.000
0.000 + 0.97z = -0.1 + -0.034
0.97z = -0.1 + -0.034

Combine like terms: -0.1 + -0.034 = -0.134
0.97z = -0.134

Divide each side by '0.97'.
z = -0.1381443299

Simplifying
z = -0.1381443299

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