8-3z-(5z-3)+(5-2z)=(6z-4)-(4z+2)

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Solution for 8-3z-(5z-3)+(5-2z)=(6z-4)-(4z+2) equation: 


Simplifying
8 + -3z + -1(5z + -3) + (5 + -2z) = (6z + -4) + -1(4z + 2)

Reorder the terms:
8 + -3z + -1(-3 + 5z) + (5 + -2z) = (6z + -4) + -1(4z + 2)
8 + -3z + (-3 * -1 + 5z * -1) + (5 + -2z) = (6z + -4) + -1(4z + 2)
8 + -3z + (3 + -5z) + (5 + -2z) = (6z + -4) + -1(4z + 2)

Remove parenthesis around (5 + -2z)
8 + -3z + 3 + -5z + 5 + -2z = (6z + -4) + -1(4z + 2)

Reorder the terms:
8 + 3 + 5 + -3z + -5z + -2z = (6z + -4) + -1(4z + 2)

Combine like terms: 8 + 3 = 11
11 + 5 + -3z + -5z + -2z = (6z + -4) + -1(4z + 2)

Combine like terms: 11 + 5 = 16
16 + -3z + -5z + -2z = (6z + -4) + -1(4z + 2)

Combine like terms: -3z + -5z = -8z
16 + -8z + -2z = (6z + -4) + -1(4z + 2)

Combine like terms: -8z + -2z = -10z
16 + -10z = (6z + -4) + -1(4z + 2)

Reorder the terms:
16 + -10z = (-4 + 6z) + -1(4z + 2)

Remove parenthesis around (-4 + 6z)
16 + -10z = -4 + 6z + -1(4z + 2)

Reorder the terms:
16 + -10z = -4 + 6z + -1(2 + 4z)
16 + -10z = -4 + 6z + (2 * -1 + 4z * -1)
16 + -10z = -4 + 6z + (-2 + -4z)

Reorder the terms:
16 + -10z = -4 + -2 + 6z + -4z

Combine like terms: -4 + -2 = -6
16 + -10z = -6 + 6z + -4z

Combine like terms: 6z + -4z = 2z
16 + -10z = -6 + 2z

Solving
16 + -10z = -6 + 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.
16 + -10z + -2z = -6 + 2z + -2z

Combine like terms: -10z + -2z = -12z
16 + -12z = -6 + 2z + -2z

Combine like terms: 2z + -2z = 0
16 + -12z = -6 + 0
16 + -12z = -6

Add '-16' to each side of the equation.
16 + -16 + -12z = -6 + -16

Combine like terms: 16 + -16 = 0
0 + -12z = -6 + -16
-12z = -6 + -16

Combine like terms: -6 + -16 = -22
-12z = -22

Divide each side by '-12'.
z = 1.833333333

Simplifying
z = 1.833333333

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