z+(z+1)+(z+2)+(z+3)+(z+4)=60

Solution for z+(z+1)+(z+2)+(z+3)+(z+4)=60 equation:

Simplifying
z + (z + 1) + (z + 2) + (z + 3) + (z + 4) = 60

Reorder the terms:
z + (1 + z) + (z + 2) + (z + 3) + (z + 4) = 60

Remove parenthesis around (1 + z)
z + 1 + z + (z + 2) + (z + 3) + (z + 4) = 60

Reorder the terms:
z + 1 + z + (2 + z) + (z + 3) + (z + 4) = 60

Remove parenthesis around (2 + z)
z + 1 + z + 2 + z + (z + 3) + (z + 4) = 60

Reorder the terms:
z + 1 + z + 2 + z + (3 + z) + (z + 4) = 60

Remove parenthesis around (3 + z)
z + 1 + z + 2 + z + 3 + z + (z + 4) = 60

Reorder the terms:
z + 1 + z + 2 + z + 3 + z + (4 + z) = 60

Remove parenthesis around (4 + z)
z + 1 + z + 2 + z + 3 + z + 4 + z = 60

Reorder the terms:
1 + 2 + 3 + 4 + z + z + z + z + z = 60

Combine like terms: 1 + 2 = 3
3 + 3 + 4 + z + z + z + z + z = 60

Combine like terms: 3 + 3 = 6
6 + 4 + z + z + z + z + z = 60

Combine like terms: 6 + 4 = 10
10 + z + z + z + z + z = 60

Combine like terms: z + z = 2z
10 + 2z + z + z + z = 60

Combine like terms: 2z + z = 3z
10 + 3z + z + z = 60

Combine like terms: 3z + z = 4z
10 + 4z + z = 60

Combine like terms: 4z + z = 5z
10 + 5z = 60

Solving
10 + 5z = 60

Solving for variable 'z'.

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

Add '-10' to each side of the equation.
10 + -10 + 5z = 60 + -10

Combine like terms: 10 + -10 = 0
0 + 5z = 60 + -10
5z = 60 + -10

Combine like terms: 60 + -10 = 50
5z = 50

Divide each side by '5'.
z = 10

Simplifying
z = 10