-[10z-(13z+6)]=6+(2z+0)

Solution for -[10z-(13z+6)]=6+(2z+0) equation:

Simplifying
-1[10z + -1(13z + 6)] = 6 + (2z + 0)

Reorder the terms:
-1[10z + -1(6 + 13z)] = 6 + (2z + 0)
-1[10z + (6 * -1 + 13z * -1)] = 6 + (2z + 0)
-1[10z + (-6 + -13z)] = 6 + (2z + 0)

Reorder the terms:
-1[-6 + 10z + -13z] = 6 + (2z + 0)

Combine like terms: 10z + -13z = -3z
-1[-6 + -3z] = 6 + (2z + 0)
[-6 * -1 + -3z * -1] = 6 + (2z + 0)
[6 + 3z] = 6 + (2z + 0)

Reorder the terms:
6 + 3z = 6 + (0 + 2z)
Remove the zero:
6 + 3z = 6 + (2z)
6 + 3z = 6 + (2z)

Add '-6' to each side of the equation.
6 + -6 + 3z = 6 + -6 + (2z)

Combine like terms: 6 + -6 = 0
0 + 3z = 6 + -6 + (2z)
3z = 6 + -6 + (2z)

Combine like terms: 6 + -6 = 0
3z = 0 + (2z)
3z = (2z)

Solving
3z = (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.
3z + (-2z) = (2z) + (-2z)

Combine like terms: 3z + (-2z) = 1z
1z = (2z) + (-2z)

Combine like terms: (2z) + (-2z) = 0
1z = 0

Divide each side by '1'.
z = 0

Simplifying
z = 0