0.3(4z+6)+19.7=0.5(4z-5)

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Solution for 0.3(4z+6)+19.7=0.5(4z-5) equation: 


Simplifying
0.3(4z + 6) + 19.7 = 0.5(4z + -5)

Reorder the terms:
0.3(6 + 4z) + 19.7 = 0.5(4z + -5)
(6 * 0.3 + 4z * 0.3) + 19.7 = 0.5(4z + -5)
(1.8 + 1.2z) + 19.7 = 0.5(4z + -5)

Reorder the terms:
1.8 + 19.7 + 1.2z = 0.5(4z + -5)

Combine like terms: 1.8 + 19.7 = 21.5
21.5 + 1.2z = 0.5(4z + -5)

Reorder the terms:
21.5 + 1.2z = 0.5(-5 + 4z)
21.5 + 1.2z = (-5 * 0.5 + 4z * 0.5)
21.5 + 1.2z = (-2.5 + 2z)

Solving
21.5 + 1.2z = -2.5 + 2z

Solving for variable 'z'.

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

Add '-2z' to each side of the equation.
21.5 + 1.2z + -2z = -2.5 + 2z + -2z

Combine like terms: 1.2z + -2z = -0.8z
21.5 + -0.8z = -2.5 + 2z + -2z

Combine like terms: 2z + -2z = 0
21.5 + -0.8z = -2.5 + 0
21.5 + -0.8z = -2.5

Add '-21.5' to each side of the equation.
21.5 + -21.5 + -0.8z = -2.5 + -21.5

Combine like terms: 21.5 + -21.5 = 0.0
0.0 + -0.8z = -2.5 + -21.5
-0.8z = -2.5 + -21.5

Combine like terms: -2.5 + -21.5 = -24
-0.8z = -24

Divide each side by '-0.8'.
z = 30

Simplifying
z = 30

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