-[5z-(8z+2)]=2+(2z+8)

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Solution for -[5z-(8z+2)]=2+(2z+8) equation:


Simplifying
-1[5z + -1(8z + 2)] = 2 + (2z + 8)

Reorder the terms:
-1[5z + -1(2 + 8z)] = 2 + (2z + 8)
-1[5z + (2 * -1 + 8z * -1)] = 2 + (2z + 8)
-1[5z + (-2 + -8z)] = 2 + (2z + 8)

Reorder the terms:
-1[-2 + 5z + -8z] = 2 + (2z + 8)

Combine like terms: 5z + -8z = -3z
-1[-2 + -3z] = 2 + (2z + 8)
[-2 * -1 + -3z * -1] = 2 + (2z + 8)
[2 + 3z] = 2 + (2z + 8)

Reorder the terms:
2 + 3z = 2 + (8 + 2z)

Remove parenthesis around (8 + 2z)
2 + 3z = 2 + 8 + 2z

Combine like terms: 2 + 8 = 10
2 + 3z = 10 + 2z

Solving
2 + 3z = 10 + 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.
2 + 3z + -2z = 10 + 2z + -2z

Combine like terms: 3z + -2z = 1z
2 + 1z = 10 + 2z + -2z

Combine like terms: 2z + -2z = 0
2 + 1z = 10 + 0
2 + 1z = 10

Add '-2' to each side of the equation.
2 + -2 + 1z = 10 + -2

Combine like terms: 2 + -2 = 0
0 + 1z = 10 + -2
1z = 10 + -2

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

Divide each side by '1'.
z = 8

Simplifying
z = 8

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