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

Solution for -[8z-(10z+6)]=6+(1z+10) equation:

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

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

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

Combine like terms: 8z + -10z = -2z
-1[-6 + -2z] = 6 + (1z + 10)
[-6 * -1 + -2z * -1] = 6 + (1z + 10)
[6 + 2z] = 6 + (1z + 10)

Reorder the terms:
6 + 2z = 6 + (10 + 1z)

Remove parenthesis around (10 + 1z)
6 + 2z = 6 + 10 + 1z

Combine like terms: 6 + 10 = 16
6 + 2z = 16 + 1z

Solving
6 + 2z = 16 + 1z

Solving for variable 'z'.

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

Add '-1z' to each side of the equation.
6 + 2z + -1z = 16 + 1z + -1z

Combine like terms: 2z + -1z = 1z
6 + 1z = 16 + 1z + -1z

Combine like terms: 1z + -1z = 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