0.4(3z+6)+18.6=0.6(3z-5)

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Solution for 0.4(3z+6)+18.6=0.6(3z-5) equation:


Simplifying
0.4(3z + 6) + 18.6 = 0.6(3z + -5)

Reorder the terms:
0.4(6 + 3z) + 18.6 = 0.6(3z + -5)
(6 * 0.4 + 3z * 0.4) + 18.6 = 0.6(3z + -5)
(2.4 + 1.2z) + 18.6 = 0.6(3z + -5)

Reorder the terms:
2.4 + 18.6 + 1.2z = 0.6(3z + -5)

Combine like terms: 2.4 + 18.6 = 21
21 + 1.2z = 0.6(3z + -5)

Reorder the terms:
21 + 1.2z = 0.6(-5 + 3z)
21 + 1.2z = (-5 * 0.6 + 3z * 0.6)
21 + 1.2z = (-3 + 1.8z)

Solving
21 + 1.2z = -3 + 1.8z

Solving for variable 'z'.

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

Add '-1.8z' to each side of the equation.
21 + 1.2z + -1.8z = -3 + 1.8z + -1.8z

Combine like terms: 1.2z + -1.8z = -0.6z
21 + -0.6z = -3 + 1.8z + -1.8z

Combine like terms: 1.8z + -1.8z = 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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