4n-1on=-2(n+8)+2(4n+8)

Solution for 4n-1on=-2(n+8)+2(4n+8) equation:

Simplifying
4n + -1on = -2(n + 8) + 2(4n + 8)

Reorder the terms:
4n + -1no = -2(8 + n) + 2(4n + 8)
4n + -1no = (8 * -2 + n * -2) + 2(4n + 8)
4n + -1no = (-16 + -2n) + 2(4n + 8)

Reorder the terms:
4n + -1no = -16 + -2n + 2(8 + 4n)
4n + -1no = -16 + -2n + (8 * 2 + 4n * 2)
4n + -1no = -16 + -2n + (16 + 8n)

Reorder the terms:
4n + -1no = -16 + 16 + -2n + 8n

Combine like terms: -16 + 16 = 0
4n + -1no = 0 + -2n + 8n
4n + -1no = -2n + 8n

Combine like terms: -2n + 8n = 6n
4n + -1no = 6n

Solving
4n + -1no = 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
4n + -6n + -1no = 6n + -6n

Combine like terms: 4n + -6n = -2n
-2n + -1no = 6n + -6n

Combine like terms: 6n + -6n = 0
-2n + -1no = 0

Factor out the Greatest Common Factor (GCF), '-1n'.
-1n(2 + o) = 0

Ignore the factor -1.
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 '(2 + o)' equal to zero and attempt to solve:

Simplifying
2 + o = 0

Solving
2 + o = 0

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

Add '-2' to each side of the equation.
2 + -2 + o = 0 + -2

Combine like terms: 2 + -2 = 0
0 + o = 0 + -2
o = 0 + -2

Combine like terms: 0 + -2 = -2
o = -2

Add '-1o' to each side of the equation.
o + -1o = -2 + -1o

Combine like terms: o + -1o = 0
0 = -2 + -1o

Simplifying
0 = -2 + -1o

The solution to this equation could not be determined.

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