-[3z-(14z+6)]=6+(10z+0)

Solution for -[3z-(14z+6)]=6+(10z+0) equation:

Simplifying
-1[3z + -1(14z + 6)] = 6 + (10z + 0)

Reorder the terms:
-1[3z + -1(6 + 14z)] = 6 + (10z + 0)
-1[3z + (6 * -1 + 14z * -1)] = 6 + (10z + 0)
-1[3z + (-6 + -14z)] = 6 + (10z + 0)

Reorder the terms:
-1[-6 + 3z + -14z] = 6 + (10z + 0)

Combine like terms: 3z + -14z = -11z
-1[-6 + -11z] = 6 + (10z + 0)
[-6 * -1 + -11z * -1] = 6 + (10z + 0)
[6 + 11z] = 6 + (10z + 0)

Reorder the terms:
6 + 11z = 6 + (0 + 10z)
Remove the zero:
6 + 11z = 6 + (10z)
6 + 11z = 6 + (10z)

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

Combine like terms: 6 + -6 = 0
0 + 11z = 6 + -6 + (10z)
11z = 6 + -6 + (10z)

Combine like terms: 6 + -6 = 0
11z = 0 + (10z)
11z = (10z)

Solving
11z = (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.
11z + (-10z) = (10z) + (-10z)

Combine like terms: 11z + (-10z) = 1z
1z = (10z) + (-10z)

Combine like terms: (10z) + (-10z) = 0
1z = 0

Divide each side by '1'.
z = 0

Simplifying
z = 0