-[10z-(21z+6)]=6+(10z+4)

Solution for -[10z-(21z+6)]=6+(10z+4) equation:

Simplifying
-1[10z + -1(21z + 6)] = 6 + (10z + 4)

Reorder the terms:
-1[10z + -1(6 + 21z)] = 6 + (10z + 4)
-1[10z + (6 * -1 + 21z * -1)] = 6 + (10z + 4)
-1[10z + (-6 + -21z)] = 6 + (10z + 4)

Reorder the terms:
-1[-6 + 10z + -21z] = 6 + (10z + 4)

Combine like terms: 10z + -21z = -11z
-1[-6 + -11z] = 6 + (10z + 4)
[-6 * -1 + -11z * -1] = 6 + (10z + 4)
[6 + 11z] = 6 + (10z + 4)

Reorder the terms:
6 + 11z = 6 + (4 + 10z)

Remove parenthesis around (4 + 10z)
6 + 11z = 6 + 4 + 10z

Combine like terms: 6 + 4 = 10
6 + 11z = 10 + 10z

Solving
6 + 11z = 10 + 10z

Solving for variable 'z'.

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

Add '-10z' to each side of the equation.
6 + 11z + -10z = 10 + 10z + -10z

Combine like terms: 11z + -10z = 1z
6 + 1z = 10 + 10z + -10z

Combine like terms: 10z + -10z = 0
6 + 1z = 10 + 0
6 + 1z = 10

Add '-6' to each side of the equation.
6 + -6 + 1z = 10 + -6

Combine like terms: 6 + -6 = 0
0 + 1z = 10 + -6
1z = 10 + -6

Combine like terms: 10 + -6 = 4
1z = 4

Divide each side by '1'.
z = 4

Simplifying
z = 4