0.3(2z+5)+0.5=0.4(2z-5)

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Solution for 0.3(2z+5)+0.5=0.4(2z-5) equation: 


Simplifying
0.3(2z + 5) + 0.5 = 0.4(2z + -5)

Reorder the terms:
0.3(5 + 2z) + 0.5 = 0.4(2z + -5)
(5 * 0.3 + 2z * 0.3) + 0.5 = 0.4(2z + -5)
(1.5 + 0.6z) + 0.5 = 0.4(2z + -5)

Reorder the terms:
1.5 + 0.5 + 0.6z = 0.4(2z + -5)

Combine like terms: 1.5 + 0.5 = 2
2 + 0.6z = 0.4(2z + -5)

Reorder the terms:
2 + 0.6z = 0.4(-5 + 2z)
2 + 0.6z = (-5 * 0.4 + 2z * 0.4)
2 + 0.6z = (-2 + 0.8z)

Solving
2 + 0.6z = -2 + 0.8z

Solving for variable 'z'.

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

Add '-0.8z' to each side of the equation.
2 + 0.6z + -0.8z = -2 + 0.8z + -0.8z

Combine like terms: 0.6z + -0.8z = -0.2z
2 + -0.2z = -2 + 0.8z + -0.8z

Combine like terms: 0.8z + -0.8z = 0.0
2 + -0.2z = -2 + 0.0
2 + -0.2z = -2

Add '-2' to each side of the equation.
2 + -2 + -0.2z = -2 + -2

Combine like terms: 2 + -2 = 0
0 + -0.2z = -2 + -2
-0.2z = -2 + -2

Combine like terms: -2 + -2 = -4
-0.2z = -4

Divide each side by '-0.2'.
z = 20

Simplifying
z = 20

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