-[2z-(12z+8)]=8+(9z+2)

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Solution for -[2z-(12z+8)]=8+(9z+2) equation:


Simplifying
-1[2z + -1(12z + 8)] = 8 + (9z + 2)

Reorder the terms:
-1[2z + -1(8 + 12z)] = 8 + (9z + 2)
-1[2z + (8 * -1 + 12z * -1)] = 8 + (9z + 2)
-1[2z + (-8 + -12z)] = 8 + (9z + 2)

Reorder the terms:
-1[-8 + 2z + -12z] = 8 + (9z + 2)

Combine like terms: 2z + -12z = -10z
-1[-8 + -10z] = 8 + (9z + 2)
[-8 * -1 + -10z * -1] = 8 + (9z + 2)
[8 + 10z] = 8 + (9z + 2)

Reorder the terms:
8 + 10z = 8 + (2 + 9z)

Remove parenthesis around (2 + 9z)
8 + 10z = 8 + 2 + 9z

Combine like terms: 8 + 2 = 10
8 + 10z = 10 + 9z

Solving
8 + 10z = 10 + 9z

Solving for variable 'z'.

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

Add '-9z' to each side of the equation.
8 + 10z + -9z = 10 + 9z + -9z

Combine like terms: 10z + -9z = 1z
8 + 1z = 10 + 9z + -9z

Combine like terms: 9z + -9z = 0
8 + 1z = 10 + 0
8 + 1z = 10

Add '-8' to each side of the equation.
8 + -8 + 1z = 10 + -8

Combine like terms: 8 + -8 = 0
0 + 1z = 10 + -8
1z = 10 + -8

Combine like terms: 10 + -8 = 2
1z = 2

Divide each side by '1'.
z = 2

Simplifying
z = 2

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