-5(-2n+4)=4(3kn-8)

Solution for -5(-2n+4)=4(3kn-8) equation:

Simplifying
-5(-2n + 4) = 4(3kn + -8)

Reorder the terms:
-5(4 + -2n) = 4(3kn + -8)
(4 * -5 + -2n * -5) = 4(3kn + -8)
(-20 + 10n) = 4(3kn + -8)

Reorder the terms:
-20 + 10n = 4(-8 + 3kn)
-20 + 10n = (-8 * 4 + 3kn * 4)
-20 + 10n = (-32 + 12kn)

Solving
-20 + 10n = -32 + 12kn

Solving for variable 'n'.

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

Add '-12kn' to each side of the equation.
-20 + -12kn + 10n = -32 + 12kn + -12kn

Combine like terms: 12kn + -12kn = 0
-20 + -12kn + 10n = -32 + 0
-20 + -12kn + 10n = -32

Add '20' to each side of the equation.
-20 + -12kn + 20 + 10n = -32 + 20

Reorder the terms:
-20 + 20 + -12kn + 10n = -32 + 20

Combine like terms: -20 + 20 = 0
0 + -12kn + 10n = -32 + 20
-12kn + 10n = -32 + 20

Combine like terms: -32 + 20 = -12
-12kn + 10n = -12

Reorder the terms:
12 + -12kn + 10n = -12 + 12

Combine like terms: -12 + 12 = 0
12 + -12kn + 10n = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(6 + -6kn + 5n) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(6 + -6kn + 5n)' equal to zero and attempt to solve:

Simplifying
6 + -6kn + 5n = 0

Solving
6 + -6kn + 5n = 0

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

Add '-6' to each side of the equation.
6 + -6kn + -6 + 5n = 0 + -6

Reorder the terms:
6 + -6 + -6kn + 5n = 0 + -6

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

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

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.