N+3+n+6=-(n+3)+5(1+2n)

Solution for N+3+n+6=-(n+3)+5(1+2n) equation:

Simplifying
N + 3 + n + 6 = -1(n + 3) + 5(1 + 2n)

Reorder the terms:
3 + 6 + N + n = -1(n + 3) + 5(1 + 2n)

Combine like terms: 3 + 6 = 9
9 + N + n = -1(n + 3) + 5(1 + 2n)

Reorder the terms:
9 + N + n = -1(3 + n) + 5(1 + 2n)
9 + N + n = (3 * -1 + n * -1) + 5(1 + 2n)
9 + N + n = (-3 + -1n) + 5(1 + 2n)
9 + N + n = -3 + -1n + (1 * 5 + 2n * 5)
9 + N + n = -3 + -1n + (5 + 10n)

Reorder the terms:
9 + N + n = -3 + 5 + -1n + 10n

Combine like terms: -3 + 5 = 2
9 + N + n = 2 + -1n + 10n

Combine like terms: -1n + 10n = 9n
9 + N + n = 2 + 9n

Solving
9 + N + n = 2 + 9n

Solving for variable 'N'.

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

Add '-9' to each side of the equation.
9 + N + -9 + n = 2 + -9 + 9n

Reorder the terms:
9 + -9 + N + n = 2 + -9 + 9n

Combine like terms: 9 + -9 = 0
0 + N + n = 2 + -9 + 9n
N + n = 2 + -9 + 9n

Combine like terms: 2 + -9 = -7
N + n = -7 + 9n

Add '-1n' to each side of the equation.
N + n + -1n = -7 + 9n + -1n

Combine like terms: n + -1n = 0
N + 0 = -7 + 9n + -1n
N = -7 + 9n + -1n

Combine like terms: 9n + -1n = 8n
N = -7 + 8n

Simplifying
N = -7 + 8n