-[10z-(17z+8)]=8+(6z+5)

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Solution for -[10z-(17z+8)]=8+(6z+5) equation:


Simplifying
-1[10z + -1(17z + 8)] = 8 + (6z + 5)

Reorder the terms:
-1[10z + -1(8 + 17z)] = 8 + (6z + 5)
-1[10z + (8 * -1 + 17z * -1)] = 8 + (6z + 5)
-1[10z + (-8 + -17z)] = 8 + (6z + 5)

Reorder the terms:
-1[-8 + 10z + -17z] = 8 + (6z + 5)

Combine like terms: 10z + -17z = -7z
-1[-8 + -7z] = 8 + (6z + 5)
[-8 * -1 + -7z * -1] = 8 + (6z + 5)
[8 + 7z] = 8 + (6z + 5)

Reorder the terms:
8 + 7z = 8 + (5 + 6z)

Remove parenthesis around (5 + 6z)
8 + 7z = 8 + 5 + 6z

Combine like terms: 8 + 5 = 13
8 + 7z = 13 + 6z

Solving
8 + 7z = 13 + 6z

Solving for variable 'z'.

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

Add '-6z' to each side of the equation.
8 + 7z + -6z = 13 + 6z + -6z

Combine like terms: 7z + -6z = 1z
8 + 1z = 13 + 6z + -6z

Combine like terms: 6z + -6z = 0
8 + 1z = 13 + 0
8 + 1z = 13

Add '-8' to each side of the equation.
8 + -8 + 1z = 13 + -8

Combine like terms: 8 + -8 = 0
0 + 1z = 13 + -8
1z = 13 + -8

Combine like terms: 13 + -8 = 5
1z = 5

Divide each side by '1'.
z = 5

Simplifying
z = 5

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