-0.8(z-0.5)=-0.4(z-17)

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Solution for -0.8(z-0.5)=-0.4(z-17) equation: 


Simplifying
-0.8(z + -0.5) = -0.4(z + -17)

Reorder the terms:
-0.8(-0.5 + z) = -0.4(z + -17)
(-0.5 * -0.8 + z * -0.8) = -0.4(z + -17)
(0.4 + -0.8z) = -0.4(z + -17)

Reorder the terms:
0.4 + -0.8z = -0.4(-17 + z)
0.4 + -0.8z = (-17 * -0.4 + z * -0.4)
0.4 + -0.8z = (6.8 + -0.4z)

Solving
0.4 + -0.8z = 6.8 + -0.4z

Solving for variable 'z'.

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

Add '0.4z' to each side of the equation.
0.4 + -0.8z + 0.4z = 6.8 + -0.4z + 0.4z

Combine like terms: -0.8z + 0.4z = -0.4z
0.4 + -0.4z = 6.8 + -0.4z + 0.4z

Combine like terms: -0.4z + 0.4z = 0.0
0.4 + -0.4z = 6.8 + 0.0
0.4 + -0.4z = 6.8

Add '-0.4' to each side of the equation.
0.4 + -0.4 + -0.4z = 6.8 + -0.4

Combine like terms: 0.4 + -0.4 = 0.0
0.0 + -0.4z = 6.8 + -0.4
-0.4z = 6.8 + -0.4

Combine like terms: 6.8 + -0.4 = 6.4
-0.4z = 6.4

Divide each side by '-0.4'.
z = -16

Simplifying
z = -16

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