-[8z-(17z+4)]=4+(8z+2)

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Solution for -[8z-(17z+4)]=4+(8z+2) equation:


Simplifying
-1[8z + -1(17z + 4)] = 4 + (8z + 2)

Reorder the terms:
-1[8z + -1(4 + 17z)] = 4 + (8z + 2)
-1[8z + (4 * -1 + 17z * -1)] = 4 + (8z + 2)
-1[8z + (-4 + -17z)] = 4 + (8z + 2)

Reorder the terms:
-1[-4 + 8z + -17z] = 4 + (8z + 2)

Combine like terms: 8z + -17z = -9z
-1[-4 + -9z] = 4 + (8z + 2)
[-4 * -1 + -9z * -1] = 4 + (8z + 2)
[4 + 9z] = 4 + (8z + 2)

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

Remove parenthesis around (2 + 8z)
4 + 9z = 4 + 2 + 8z

Combine like terms: 4 + 2 = 6
4 + 9z = 6 + 8z

Solving
4 + 9z = 6 + 8z

Solving for variable 'z'.

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

Add '-8z' to each side of the equation.
4 + 9z + -8z = 6 + 8z + -8z

Combine like terms: 9z + -8z = 1z
4 + 1z = 6 + 8z + -8z

Combine like terms: 8z + -8z = 0
4 + 1z = 6 + 0
4 + 1z = 6

Add '-4' to each side of the equation.
4 + -4 + 1z = 6 + -4

Combine like terms: 4 + -4 = 0
0 + 1z = 6 + -4
1z = 6 + -4

Combine like terms: 6 + -4 = 2
1z = 2

Divide each side by '1'.
z = 2

Simplifying
z = 2

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