N-1+1+3n=-8(n+6)+7(n-1)

Solution for N-1+1+3n=-8(n+6)+7(n-1) equation:

Simplifying
N + -1 + 1 + 3n = -8(n + 6) + 7(n + -1)

Reorder the terms:
-1 + 1 + N + 3n = -8(n + 6) + 7(n + -1)

Combine like terms: -1 + 1 = 0
0 + N + 3n = -8(n + 6) + 7(n + -1)
N + 3n = -8(n + 6) + 7(n + -1)

Reorder the terms:
N + 3n = -8(6 + n) + 7(n + -1)
N + 3n = (6 * -8 + n * -8) + 7(n + -1)
N + 3n = (-48 + -8n) + 7(n + -1)

Reorder the terms:
N + 3n = -48 + -8n + 7(-1 + n)
N + 3n = -48 + -8n + (-1 * 7 + n * 7)
N + 3n = -48 + -8n + (-7 + 7n)

Reorder the terms:
N + 3n = -48 + -7 + -8n + 7n

Combine like terms: -48 + -7 = -55
N + 3n = -55 + -8n + 7n

Combine like terms: -8n + 7n = -1n
N + 3n = -55 + -1n

Solving
N + 3n = -55 + -1n

Solving for variable 'N'.

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

Add '-3n' to each side of the equation.
N + 3n + -3n = -55 + -1n + -3n

Combine like terms: 3n + -3n = 0
N + 0 = -55 + -1n + -3n
N = -55 + -1n + -3n

Combine like terms: -1n + -3n = -4n
N = -55 + -4n

Simplifying
N = -55 + -4n