.4(3z+6)+20.4=.7(3z-6)

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Solution for .4(3z+6)+20.4=.7(3z-6) equation: 


Simplifying
0.4(3z + 6) + 20.4 = 0.7(3z + -6)

Reorder the terms:
0.4(6 + 3z) + 20.4 = 0.7(3z + -6)
(6 * 0.4 + 3z * 0.4) + 20.4 = 0.7(3z + -6)
(2.4 + 1.2z) + 20.4 = 0.7(3z + -6)

Reorder the terms:
2.4 + 20.4 + 1.2z = 0.7(3z + -6)

Combine like terms: 2.4 + 20.4 = 22.8
22.8 + 1.2z = 0.7(3z + -6)

Reorder the terms:
22.8 + 1.2z = 0.7(-6 + 3z)
22.8 + 1.2z = (-6 * 0.7 + 3z * 0.7)
22.8 + 1.2z = (-4.2 + 2.1z)

Solving
22.8 + 1.2z = -4.2 + 2.1z

Solving for variable 'z'.

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

Add '-2.1z' to each side of the equation.
22.8 + 1.2z + -2.1z = -4.2 + 2.1z + -2.1z

Combine like terms: 1.2z + -2.1z = -0.9z
22.8 + -0.9z = -4.2 + 2.1z + -2.1z

Combine like terms: 2.1z + -2.1z = 0.0
22.8 + -0.9z = -4.2 + 0.0
22.8 + -0.9z = -4.2

Add '-22.8' to each side of the equation.
22.8 + -22.8 + -0.9z = -4.2 + -22.8

Combine like terms: 22.8 + -22.8 = 0.0
0.0 + -0.9z = -4.2 + -22.8
-0.9z = -4.2 + -22.8

Combine like terms: -4.2 + -22.8 = -27
-0.9z = -27

Divide each side by '-0.9'.
z = 30

Simplifying
z = 30

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