n=4+(n+1)(-5)

Solution for n=4+(n+1)(-5) equation:

Simplifying
n = 4 + (n + 1)(-5)

Reorder the terms:
n = 4 + (1 + n)(-5)

Reorder the terms for easier multiplication:
n = 4 + -5(1 + n)
n = 4 + (1 * -5 + n * -5)
n = 4 + (-5 + -5n)

Combine like terms: 4 + -5 = -1
n = -1 + -5n

Solving
n = -1 + -5n

Solving for variable 'n'.

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

Add '5n' to each side of the equation.
n + 5n = -1 + -5n + 5n

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

Combine like terms: -5n + 5n = 0
6n = -1 + 0
6n = -1

Divide each side by '6'.
n = -0.1666666667

Simplifying
n = -0.1666666667