N(n+1)+(n+3)+(n+5)=39

Solution for N(n+1)+(n+3)+(n+5)=39 equation:

Simplifying
N(n + 1) + (n + 3) + (n + 5) = 39

Reorder the terms:
N(1 + n) + (n + 3) + (n + 5) = 39
(1 * N + n * N) + (n + 3) + (n + 5) = 39
(1N + nN) + (n + 3) + (n + 5) = 39

Reorder the terms:
1N + nN + (3 + n) + (n + 5) = 39

Remove parenthesis around (3 + n)
1N + nN + 3 + n + (n + 5) = 39

Reorder the terms:
1N + nN + 3 + n + (5 + n) = 39

Remove parenthesis around (5 + n)
1N + nN + 3 + n + 5 + n = 39

Reorder the terms:
3 + 5 + 1N + n + n + nN = 39

Combine like terms: 3 + 5 = 8
8 + 1N + n + n + nN = 39

Combine like terms: n + n = 2n
8 + 1N + 2n + nN = 39

Solving
8 + 1N + 2n + nN = 39

Solving for variable 'N'.

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

Add '-8' to each side of the equation.
8 + 1N + 2n + -8 + nN = 39 + -8

Reorder the terms:
8 + -8 + 1N + 2n + nN = 39 + -8

Combine like terms: 8 + -8 = 0
0 + 1N + 2n + nN = 39 + -8
1N + 2n + nN = 39 + -8

Combine like terms: 39 + -8 = 31
1N + 2n + nN = 31

Add '-2n' to each side of the equation.
1N + 2n + -2n + nN = 31 + -2n

Combine like terms: 2n + -2n = 0
1N + 0 + nN = 31 + -2n
1N + nN = 31 + -2n

Reorder the terms:
-31 + 1N + 2n + nN = 31 + -2n + -31 + 2n

Reorder the terms:
-31 + 1N + 2n + nN = 31 + -31 + -2n + 2n

Combine like terms: 31 + -31 = 0
-31 + 1N + 2n + nN = 0 + -2n + 2n
-31 + 1N + 2n + nN = -2n + 2n

Combine like terms: -2n + 2n = 0
-31 + 1N + 2n + nN = 0

The solution to this equation could not be determined.