(z+4)+(z+1)+(z-1)+(z-1)=27

Solution for (z+4)+(z+1)+(z-1)+(z-1)=27 equation:

Simplifying
(z + 4) + (z + 1) + (z + -1) + (z + -1) = 27

Reorder the terms:
(4 + z) + (z + 1) + (z + -1) + (z + -1) = 27

Remove parenthesis around (4 + z)
4 + z + (z + 1) + (z + -1) + (z + -1) = 27

Reorder the terms:
4 + z + (1 + z) + (z + -1) + (z + -1) = 27

Remove parenthesis around (1 + z)
4 + z + 1 + z + (z + -1) + (z + -1) = 27

Reorder the terms:
4 + z + 1 + z + (-1 + z) + (z + -1) = 27

Remove parenthesis around (-1 + z)
4 + z + 1 + z + -1 + z + (z + -1) = 27

Reorder the terms:
4 + z + 1 + z + -1 + z + (-1 + z) = 27

Remove parenthesis around (-1 + z)
4 + z + 1 + z + -1 + z + -1 + z = 27

Reorder the terms:
4 + 1 + -1 + -1 + z + z + z + z = 27

Combine like terms: 4 + 1 = 5
5 + -1 + -1 + z + z + z + z = 27

Combine like terms: 5 + -1 = 4
4 + -1 + z + z + z + z = 27

Combine like terms: 4 + -1 = 3
3 + z + z + z + z = 27

Combine like terms: z + z = 2z
3 + 2z + z + z = 27

Combine like terms: 2z + z = 3z
3 + 3z + z = 27

Combine like terms: 3z + z = 4z
3 + 4z = 27

Solving
3 + 4z = 27

Solving for variable 'z'.

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

Add '-3' to each side of the equation.
3 + -3 + 4z = 27 + -3

Combine like terms: 3 + -3 = 0
0 + 4z = 27 + -3
4z = 27 + -3

Combine like terms: 27 + -3 = 24
4z = 24

Divide each side by '4'.
z = 6

Simplifying
z = 6