-[3z-(6z+8)]=8+(2z+9)

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Solution for -[3z-(6z+8)]=8+(2z+9) equation:


Simplifying
-1[3z + -1(6z + 8)] = 8 + (2z + 9)

Reorder the terms:
-1[3z + -1(8 + 6z)] = 8 + (2z + 9)
-1[3z + (8 * -1 + 6z * -1)] = 8 + (2z + 9)
-1[3z + (-8 + -6z)] = 8 + (2z + 9)

Reorder the terms:
-1[-8 + 3z + -6z] = 8 + (2z + 9)

Combine like terms: 3z + -6z = -3z
-1[-8 + -3z] = 8 + (2z + 9)
[-8 * -1 + -3z * -1] = 8 + (2z + 9)
[8 + 3z] = 8 + (2z + 9)

Reorder the terms:
8 + 3z = 8 + (9 + 2z)

Remove parenthesis around (9 + 2z)
8 + 3z = 8 + 9 + 2z

Combine like terms: 8 + 9 = 17
8 + 3z = 17 + 2z

Solving
8 + 3z = 17 + 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.
8 + 3z + -2z = 17 + 2z + -2z

Combine like terms: 3z + -2z = 1z
8 + 1z = 17 + 2z + -2z

Combine like terms: 2z + -2z = 0
8 + 1z = 17 + 0
8 + 1z = 17

Add '-8' to each side of the equation.
8 + -8 + 1z = 17 + -8

Combine like terms: 8 + -8 = 0
0 + 1z = 17 + -8
1z = 17 + -8

Combine like terms: 17 + -8 = 9
1z = 9

Divide each side by '1'.
z = 9

Simplifying
z = 9

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