0.3(2z+6)+19.2=0.6(2z-5)

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Solution for 0.3(2z+6)+19.2=0.6(2z-5) equation: 


Simplifying
0.3(2z + 6) + 19.2 = 0.6(2z + -5)

Reorder the terms:
0.3(6 + 2z) + 19.2 = 0.6(2z + -5)
(6 * 0.3 + 2z * 0.3) + 19.2 = 0.6(2z + -5)
(1.8 + 0.6z) + 19.2 = 0.6(2z + -5)

Reorder the terms:
1.8 + 19.2 + 0.6z = 0.6(2z + -5)

Combine like terms: 1.8 + 19.2 = 21
21 + 0.6z = 0.6(2z + -5)

Reorder the terms:
21 + 0.6z = 0.6(-5 + 2z)
21 + 0.6z = (-5 * 0.6 + 2z * 0.6)
21 + 0.6z = (-3 + 1.2z)

Solving
21 + 0.6z = -3 + 1.2z

Solving for variable 'z'.

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

Add '-1.2z' to each side of the equation.
21 + 0.6z + -1.2z = -3 + 1.2z + -1.2z

Combine like terms: 0.6z + -1.2z = -0.6z
21 + -0.6z = -3 + 1.2z + -1.2z

Combine like terms: 1.2z + -1.2z = 0.0
21 + -0.6z = -3 + 0.0
21 + -0.6z = -3

Add '-21' to each side of the equation.
21 + -21 + -0.6z = -3 + -21

Combine like terms: 21 + -21 = 0
0 + -0.6z = -3 + -21
-0.6z = -3 + -21

Combine like terms: -3 + -21 = -24
-0.6z = -24

Divide each side by '-0.6'.
z = 40

Simplifying
z = 40

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