Un=6n+(-7)n

Solution for Un=6n+(-7)n equation:

Simplifying
Un = 6n + (-7) * n

Combine like terms: 6n + -7n = -1n
nU = -1n

Solving
nU = -1n

Solving for variable 'n'.

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

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

Combine like terms: -1n + n = 0
n + nU = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(1 + U) = 0

Subproblem 1
Set the factor 'n' equal to zero and attempt to solve:

Simplifying
n = 0

Solving
n = 0

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

Simplifying
n = 0
Subproblem 2
Set the factor '(1 + U)' equal to zero and attempt to solve:

Simplifying
1 + U = 0

Solving
1 + U = 0

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

Add '-1' to each side of the equation.
1 + -1 + U = 0 + -1

Combine like terms: 1 + -1 = 0
0 + U = 0 + -1
U = 0 + -1

Combine like terms: 0 + -1 = -1
U = -1

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

Combine like terms: U + -1U = 0
0 = -1 + -1U

Simplifying
0 = -1 + -1U

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
n = {0}