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

Solution for 51=n+(N+1)+(n+2) equation:

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

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

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

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

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

Reorder the terms:
51 = 1 + 2 + N + n + n

Combine like terms: 1 + 2 = 3
51 = 3 + N + n + n

Combine like terms: n + n = 2n
51 = 3 + N + 2n

Solving
51 = 3 + N + 2n

Solving for variable 'N'.

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

Add '-1N' to each side of the equation.
51 + -1N = 3 + N + -1N + 2n

Combine like terms: N + -1N = 0
51 + -1N = 3 + 0 + 2n
51 + -1N = 3 + 2n

Add '-51' to each side of the equation.
51 + -51 + -1N = 3 + -51 + 2n

Combine like terms: 51 + -51 = 0
0 + -1N = 3 + -51 + 2n
-1N = 3 + -51 + 2n

Combine like terms: 3 + -51 = -48
-1N = -48 + 2n

Divide each side by '-1'.
N = 48 + -2n

Simplifying
N = 48 + -2n