0.4(2z+6)+0.1=0.5(6z-8)

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Solution for 0.4(2z+6)+0.1=0.5(6z-8) equation: 


Simplifying
0.4(2z + 6) + 0.1 = 0.5(6z + -8)

Reorder the terms:
0.4(6 + 2z) + 0.1 = 0.5(6z + -8)
(6 * 0.4 + 2z * 0.4) + 0.1 = 0.5(6z + -8)
(2.4 + 0.8z) + 0.1 = 0.5(6z + -8)

Reorder the terms:
2.4 + 0.1 + 0.8z = 0.5(6z + -8)

Combine like terms: 2.4 + 0.1 = 2.5
2.5 + 0.8z = 0.5(6z + -8)

Reorder the terms:
2.5 + 0.8z = 0.5(-8 + 6z)
2.5 + 0.8z = (-8 * 0.5 + 6z * 0.5)
2.5 + 0.8z = (-4 + 3z)

Solving
2.5 + 0.8z = -4 + 3z

Solving for variable 'z'.

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

Add '-3z' to each side of the equation.
2.5 + 0.8z + -3z = -4 + 3z + -3z

Combine like terms: 0.8z + -3z = -2.2z
2.5 + -2.2z = -4 + 3z + -3z

Combine like terms: 3z + -3z = 0
2.5 + -2.2z = -4 + 0
2.5 + -2.2z = -4

Add '-2.5' to each side of the equation.
2.5 + -2.5 + -2.2z = -4 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + -2.2z = -4 + -2.5
-2.2z = -4 + -2.5

Combine like terms: -4 + -2.5 = -6.5
-2.2z = -6.5

Divide each side by '-2.2'.
z = 2.954545455

Simplifying
z = 2.954545455

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