n+n+1+n+2+n+3=s

Solution for n+n+1+n+2+n+3=s equation:

Simplifying
n + n + 1 + n + 2 + n + 3 = s

Reorder the terms:
1 + 2 + 3 + n + n + n + n = s

Combine like terms: 1 + 2 = 3
3 + 3 + n + n + n + n = s

Combine like terms: 3 + 3 = 6
6 + n + n + n + n = s

Combine like terms: n + n = 2n
6 + 2n + n + n = s

Combine like terms: 2n + n = 3n
6 + 3n + n = s

Combine like terms: 3n + n = 4n
6 + 4n = s

Solving
6 + 4n = s

Solving for variable 'n'.

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

Add '-6' to each side of the equation.
6 + -6 + 4n = -6 + s

Combine like terms: 6 + -6 = 0
0 + 4n = -6 + s
4n = -6 + s

Divide each side by '4'.
n = -1.5 + 0.25s

Simplifying
n = -1.5 + 0.25s