0.20(z+6)=0.4(2+z)

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Solution for 0.20(z+6)=0.4(2+z) equation: 


Simplifying
0.20(z + 6) = 0.4(2 + z)

Reorder the terms:
0.20(6 + z) = 0.4(2 + z)
(6 * 0.20 + z * 0.20) = 0.4(2 + z)
(1.2 + 0.20z) = 0.4(2 + z)
1.2 + 0.20z = (2 * 0.4 + z * 0.4)
1.2 + 0.20z = (0.8 + 0.4z)

Solving
1.2 + 0.20z = 0.8 + 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.
1.2 + 0.20z + -0.4z = 0.8 + 0.4z + -0.4z

Combine like terms: 0.20z + -0.4z = -0.2z
1.2 + -0.2z = 0.8 + 0.4z + -0.4z

Combine like terms: 0.4z + -0.4z = 0.0
1.2 + -0.2z = 0.8 + 0.0
1.2 + -0.2z = 0.8

Add '-1.2' to each side of the equation.
1.2 + -1.2 + -0.2z = 0.8 + -1.2

Combine like terms: 1.2 + -1.2 = 0.0
0.0 + -0.2z = 0.8 + -1.2
-0.2z = 0.8 + -1.2

Combine like terms: 0.8 + -1.2 = -0.4
-0.2z = -0.4

Divide each side by '-0.2'.
z = 2

Simplifying
z = 2

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