N+(n+1)+(n+2)=22

Solution for N+(n+1)+(n+2)=22 equation:

Simplifying
N + (n + 1) + (n + 2) = 22

Reorder the terms:
N + (1 + n) + (n + 2) = 22

Remove parenthesis around (1 + n)
N + 1 + n + (n + 2) = 22

Reorder the terms:
N + 1 + n + (2 + n) = 22

Remove parenthesis around (2 + n)
N + 1 + n + 2 + n = 22

Reorder the terms:
1 + 2 + N + n + n = 22

Combine like terms: 1 + 2 = 3
3 + N + n + n = 22

Combine like terms: n + n = 2n
3 + N + 2n = 22

Solving
3 + N + 2n = 22

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 + N + -3 + 2n = 22 + -3

Reorder the terms:
3 + -3 + N + 2n = 22 + -3

Combine like terms: 3 + -3 = 0
0 + N + 2n = 22 + -3
N + 2n = 22 + -3

Combine like terms: 22 + -3 = 19
N + 2n = 19

Add '-2n' to each side of the equation.
N + 2n + -2n = 19 + -2n

Combine like terms: 2n + -2n = 0
N + 0 = 19 + -2n
N = 19 + -2n

Simplifying
N = 19 + -2n