a(n+1)+1=(n-5)+(n-1)

Solution for a(n+1)+1=(n-5)+(n-1) equation:

Simplifying
a(n + 1) + 1 = (n + -5) + (n + -1)

Reorder the terms:
a(1 + n) + 1 = (n + -5) + (n + -1)
(1 * a + n * a) + 1 = (n + -5) + (n + -1)
(1a + an) + 1 = (n + -5) + (n + -1)

Reorder the terms:
1 + 1a + an = (n + -5) + (n + -1)

Reorder the terms:
1 + 1a + an = (-5 + n) + (n + -1)

Remove parenthesis around (-5 + n)
1 + 1a + an = -5 + n + (n + -1)

Reorder the terms:
1 + 1a + an = -5 + n + (-1 + n)

Remove parenthesis around (-1 + n)
1 + 1a + an = -5 + n + -1 + n

Reorder the terms:
1 + 1a + an = -5 + -1 + n + n

Combine like terms: -5 + -1 = -6
1 + 1a + an = -6 + n + n

Combine like terms: n + n = 2n
1 + 1a + an = -6 + 2n

Solving
1 + 1a + an = -6 + 2n

Solving for variable 'a'.

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

Add '-1' to each side of the equation.
1 + 1a + -1 + an = -6 + -1 + 2n

Reorder the terms:
1 + -1 + 1a + an = -6 + -1 + 2n

Combine like terms: 1 + -1 = 0
0 + 1a + an = -6 + -1 + 2n
1a + an = -6 + -1 + 2n

Combine like terms: -6 + -1 = -7
1a + an = -7 + 2n

Reorder the terms:
7 + 1a + an + -2n = -7 + 2n + 7 + -2n

Reorder the terms:
7 + 1a + an + -2n = -7 + 7 + 2n + -2n

Combine like terms: -7 + 7 = 0
7 + 1a + an + -2n = 0 + 2n + -2n
7 + 1a + an + -2n = 2n + -2n

Combine like terms: 2n + -2n = 0
7 + 1a + an + -2n = 0

The solution to this equation could not be determined.