0.4(2z+6)+3.1=0.5(2z-5)

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Solution for 0.4(2z+6)+3.1=0.5(2z-5) equation:


Simplifying
0.4(2z + 6) + 3.1 = 0.5(2z + -5)

Reorder the terms:
0.4(6 + 2z) + 3.1 = 0.5(2z + -5)
(6 * 0.4 + 2z * 0.4) + 3.1 = 0.5(2z + -5)
(2.4 + 0.8z) + 3.1 = 0.5(2z + -5)

Reorder the terms:
2.4 + 3.1 + 0.8z = 0.5(2z + -5)

Combine like terms: 2.4 + 3.1 = 5.5
5.5 + 0.8z = 0.5(2z + -5)

Reorder the terms:
5.5 + 0.8z = 0.5(-5 + 2z)
5.5 + 0.8z = (-5 * 0.5 + 2z * 0.5)
5.5 + 0.8z = (-2.5 + 1z)

Solving
5.5 + 0.8z = -2.5 + 1z

Solving for variable 'z'.

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

Add '-1z' to each side of the equation.
5.5 + 0.8z + -1z = -2.5 + 1z + -1z

Combine like terms: 0.8z + -1z = -0.2z
5.5 + -0.2z = -2.5 + 1z + -1z

Combine like terms: 1z + -1z = 0
5.5 + -0.2z = -2.5 + 0
5.5 + -0.2z = -2.5

Add '-5.5' to each side of the equation.
5.5 + -5.5 + -0.2z = -2.5 + -5.5

Combine like terms: 5.5 + -5.5 = 0.0
0.0 + -0.2z = -2.5 + -5.5
-0.2z = -2.5 + -5.5

Combine like terms: -2.5 + -5.5 = -8
-0.2z = -8

Divide each side by '-0.2'.
z = 40

Simplifying
z = 40

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