2[4z-(z-3)]=

Solution for 2[4z-(z-3)]= equation:

Simplifying
2[4z + -1(z + -3)] = 0

Reorder the terms:
2[4z + -1(-3 + z)] = 0
2[4z + (-3 * -1 + z * -1)] = 0
2[4z + (3 + -1z)] = 0

Reorder the terms:
2[3 + 4z + -1z] = 0

Combine like terms: 4z + -1z = 3z
2[3 + 3z] = 0
[3 * 2 + 3z * 2] = 0
[6 + 6z] = 0

Solving
6 + 6z = 0

Solving for variable 'z'.

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

Add '-6' to each side of the equation.
6 + -6 + 6z = 0 + -6

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

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

Divide each side by '6'.
z = -1

Simplifying
z = -1