N+(n+5)+(n+10)=78

Solution for N+(n+5)+(n+10)=78 equation:

Simplifying
N + (n + 5) + (n + 10) = 78

Reorder the terms:
N + (5 + n) + (n + 10) = 78

Remove parenthesis around (5 + n)
N + 5 + n + (n + 10) = 78

Reorder the terms:
N + 5 + n + (10 + n) = 78

Remove parenthesis around (10 + n)
N + 5 + n + 10 + n = 78

Reorder the terms:
5 + 10 + N + n + n = 78

Combine like terms: 5 + 10 = 15
15 + N + n + n = 78

Combine like terms: n + n = 2n
15 + N + 2n = 78

Solving
15 + N + 2n = 78

Solving for variable 'N'.

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

Add '-15' to each side of the equation.
15 + N + -15 + 2n = 78 + -15

Reorder the terms:
15 + -15 + N + 2n = 78 + -15

Combine like terms: 15 + -15 = 0
0 + N + 2n = 78 + -15
N + 2n = 78 + -15

Combine like terms: 78 + -15 = 63
N + 2n = 63

Add '-2n' to each side of the equation.
N + 2n + -2n = 63 + -2n

Combine like terms: 2n + -2n = 0
N + 0 = 63 + -2n
N = 63 + -2n

Simplifying
N = 63 + -2n