-8n+4(1+5n)=6ne

Solution for -8n+4(1+5n)=6ne equation:

Simplifying
-8n + 4(1 + 5n) = 6ne
-8n + (1 * 4 + 5n * 4) = 6ne
-8n + (4 + 20n) = 6ne

Reorder the terms:
4 + -8n + 20n = 6ne

Combine like terms: -8n + 20n = 12n
4 + 12n = 6ne

Solving
4 + 12n = 6en

Solving for variable 'n'.

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

Add '-6en' to each side of the equation.
4 + -6en + 12n = 6en + -6en

Combine like terms: 6en + -6en = 0
4 + -6en + 12n = 0

Add '-4' to each side of the equation.
4 + -6en + -4 + 12n = 0 + -4

Reorder the terms:
4 + -4 + -6en + 12n = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -6en + 12n = 0 + -4
-6en + 12n = 0 + -4

Combine like terms: 0 + -4 = -4
-6en + 12n = -4

Reorder the terms:
4 + -6en + 12n = -4 + 4

Combine like terms: -4 + 4 = 0
4 + -6en + 12n = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(2 + -3en + 6n) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(2 + -3en + 6n)' equal to zero and attempt to solve:

Simplifying
2 + -3en + 6n = 0

Solving
2 + -3en + 6n = 0

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

Add '-2' to each side of the equation.
2 + -3en + -2 + 6n = 0 + -2

Reorder the terms:
2 + -2 + -3en + 6n = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3en + 6n = 0 + -2
-3en + 6n = 0 + -2

Combine like terms: 0 + -2 = -2
-3en + 6n = -2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.