2z+(6-z)=3

Solution for 2z+(6-z)=3 equation:

Simplifying
2z + (6 + -1z) = 3

Remove parenthesis around (6 + -1z)
2z + 6 + -1z = 3

Reorder the terms:
6 + 2z + -1z = 3

Combine like terms: 2z + -1z = 1z
6 + 1z = 3

Solving
6 + 1z = 3

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 + 1z = 3 + -6

Combine like terms: 6 + -6 = 0
0 + 1z = 3 + -6
1z = 3 + -6

Combine like terms: 3 + -6 = -3
1z = -3

Divide each side by '1'.
z = -3

Simplifying
z = -3