n+(n+1)+(n+2)=-114

Solution for n+(n+1)+(n+2)=-114 equation:

Simplifying
n + (n + 1) + (n + 2) = -114

Reorder the terms:
n + (1 + n) + (n + 2) = -114

Remove parenthesis around (1 + n)
n + 1 + n + (n + 2) = -114

Reorder the terms:
n + 1 + n + (2 + n) = -114

Remove parenthesis around (2 + n)
n + 1 + n + 2 + n = -114

Reorder the terms:
1 + 2 + n + n + n = -114

Combine like terms: 1 + 2 = 3
3 + n + n + n = -114

Combine like terms: n + n = 2n
3 + 2n + n = -114

Combine like terms: 2n + n = 3n
3 + 3n = -114

Solving
3 + 3n = -114

Solving for variable 'n'.

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

Add '-3' to each side of the equation.
3 + -3 + 3n = -114 + -3

Combine like terms: 3 + -3 = 0
0 + 3n = -114 + -3
3n = -114 + -3

Combine like terms: -114 + -3 = -117
3n = -117

Divide each side by '3'.
n = -39

Simplifying
n = -39