-[5z-(14z+6)]=6+(8z+10)

Solution for -[5z-(14z+6)]=6+(8z+10) equation:

Simplifying
-1[5z + -1(14z + 6)] = 6 + (8z + 10)

Reorder the terms:
-1[5z + -1(6 + 14z)] = 6 + (8z + 10)
-1[5z + (6 * -1 + 14z * -1)] = 6 + (8z + 10)
-1[5z + (-6 + -14z)] = 6 + (8z + 10)

Reorder the terms:
-1[-6 + 5z + -14z] = 6 + (8z + 10)

Combine like terms: 5z + -14z = -9z
-1[-6 + -9z] = 6 + (8z + 10)
[-6 * -1 + -9z * -1] = 6 + (8z + 10)
[6 + 9z] = 6 + (8z + 10)

Reorder the terms:
6 + 9z = 6 + (10 + 8z)

Remove parenthesis around (10 + 8z)
6 + 9z = 6 + 10 + 8z

Combine like terms: 6 + 10 = 16
6 + 9z = 16 + 8z

Solving
6 + 9z = 16 + 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.
6 + 9z + -8z = 16 + 8z + -8z

Combine like terms: 9z + -8z = 1z
6 + 1z = 16 + 8z + -8z

Combine like terms: 8z + -8z = 0
6 + 1z = 16 + 0
6 + 1z = 16

Add '-6' to each side of the equation.
6 + -6 + 1z = 16 + -6

Combine like terms: 6 + -6 = 0
0 + 1z = 16 + -6
1z = 16 + -6

Combine like terms: 16 + -6 = 10
1z = 10

Divide each side by '1'.
z = 10

Simplifying
z = 10