0.5(4z+6)+1.4=0.6(4z-6)

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Solution for 0.5(4z+6)+1.4=0.6(4z-6) equation:


Simplifying
0.5(4z + 6) + 1.4 = 0.6(4z + -6)

Reorder the terms:
0.5(6 + 4z) + 1.4 = 0.6(4z + -6)
(6 * 0.5 + 4z * 0.5) + 1.4 = 0.6(4z + -6)
(3 + 2z) + 1.4 = 0.6(4z + -6)

Reorder the terms:
3 + 1.4 + 2z = 0.6(4z + -6)

Combine like terms: 3 + 1.4 = 4.4
4.4 + 2z = 0.6(4z + -6)

Reorder the terms:
4.4 + 2z = 0.6(-6 + 4z)
4.4 + 2z = (-6 * 0.6 + 4z * 0.6)
4.4 + 2z = (-3.6 + 2.4z)

Solving
4.4 + 2z = -3.6 + 2.4z

Solving for variable 'z'.

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

Add '-2.4z' to each side of the equation.
4.4 + 2z + -2.4z = -3.6 + 2.4z + -2.4z

Combine like terms: 2z + -2.4z = -0.4z
4.4 + -0.4z = -3.6 + 2.4z + -2.4z

Combine like terms: 2.4z + -2.4z = 0.0
4.4 + -0.4z = -3.6 + 0.0
4.4 + -0.4z = -3.6

Add '-4.4' to each side of the equation.
4.4 + -4.4 + -0.4z = -3.6 + -4.4

Combine like terms: 4.4 + -4.4 = 0.0
0.0 + -0.4z = -3.6 + -4.4
-0.4z = -3.6 + -4.4

Combine like terms: -3.6 + -4.4 = -8
-0.4z = -8

Divide each side by '-0.4'.
z = 20

Simplifying
z = 20

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