-(2z-2)-(4z-8)+4=-4(z-9)-(9z+7)+9

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Solution for -(2z-2)-(4z-8)+4=-4(z-9)-(9z+7)+9 equation: 


Simplifying
-1(2z + -2) + -1(4z + -8) + 4 = -4(z + -9) + -1(9z + 7) + 9

Reorder the terms:
-1(-2 + 2z) + -1(4z + -8) + 4 = -4(z + -9) + -1(9z + 7) + 9
(-2 * -1 + 2z * -1) + -1(4z + -8) + 4 = -4(z + -9) + -1(9z + 7) + 9
(2 + -2z) + -1(4z + -8) + 4 = -4(z + -9) + -1(9z + 7) + 9

Reorder the terms:
2 + -2z + -1(-8 + 4z) + 4 = -4(z + -9) + -1(9z + 7) + 9
2 + -2z + (-8 * -1 + 4z * -1) + 4 = -4(z + -9) + -1(9z + 7) + 9
2 + -2z + (8 + -4z) + 4 = -4(z + -9) + -1(9z + 7) + 9

Reorder the terms:
2 + 8 + 4 + -2z + -4z = -4(z + -9) + -1(9z + 7) + 9

Combine like terms: 2 + 8 = 10
10 + 4 + -2z + -4z = -4(z + -9) + -1(9z + 7) + 9

Combine like terms: 10 + 4 = 14
14 + -2z + -4z = -4(z + -9) + -1(9z + 7) + 9

Combine like terms: -2z + -4z = -6z
14 + -6z = -4(z + -9) + -1(9z + 7) + 9

Reorder the terms:
14 + -6z = -4(-9 + z) + -1(9z + 7) + 9
14 + -6z = (-9 * -4 + z * -4) + -1(9z + 7) + 9
14 + -6z = (36 + -4z) + -1(9z + 7) + 9

Reorder the terms:
14 + -6z = 36 + -4z + -1(7 + 9z) + 9
14 + -6z = 36 + -4z + (7 * -1 + 9z * -1) + 9
14 + -6z = 36 + -4z + (-7 + -9z) + 9

Reorder the terms:
14 + -6z = 36 + -7 + 9 + -4z + -9z

Combine like terms: 36 + -7 = 29
14 + -6z = 29 + 9 + -4z + -9z

Combine like terms: 29 + 9 = 38
14 + -6z = 38 + -4z + -9z

Combine like terms: -4z + -9z = -13z
14 + -6z = 38 + -13z

Solving
14 + -6z = 38 + -13z

Solving for variable 'z'.

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

Add '13z' to each side of the equation.
14 + -6z + 13z = 38 + -13z + 13z

Combine like terms: -6z + 13z = 7z
14 + 7z = 38 + -13z + 13z

Combine like terms: -13z + 13z = 0
14 + 7z = 38 + 0
14 + 7z = 38

Add '-14' to each side of the equation.
14 + -14 + 7z = 38 + -14

Combine like terms: 14 + -14 = 0
0 + 7z = 38 + -14
7z = 38 + -14

Combine like terms: 38 + -14 = 24
7z = 24

Divide each side by '7'.
z = 3.428571429

Simplifying
z = 3.428571429

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