(n-1)+n+(n+1)=3n+1

Solution for (n-1)+n+(n+1)=3n+1 equation:

Simplifying
(n + -1) + n + (n + 1) = 3n + 1

Reorder the terms:
(-1 + n) + n + (n + 1) = 3n + 1

Remove parenthesis around (-1 + n)
-1 + n + n + (n + 1) = 3n + 1

Reorder the terms:
-1 + n + n + (1 + n) = 3n + 1

Remove parenthesis around (1 + n)
-1 + n + n + 1 + n = 3n + 1

Reorder the terms:
-1 + 1 + n + n + n = 3n + 1

Combine like terms: -1 + 1 = 0
0 + n + n + n = 3n + 1
n + n + n = 3n + 1

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

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

Reorder the terms:
3n = 1 + 3n

Add '-3n' to each side of the equation.
3n + -3n = 1 + 3n + -3n

Combine like terms: 3n + -3n = 0
0 = 1 + 3n + -3n

Combine like terms: 3n + -3n = 0
0 = 1 + 0
0 = 1

Solving
0 = 1

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.