-5n(-8x-6)=-6x-22

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Solution for -5n(-8x-6)=-6x-22 equation: 


Simplifying
-5n(-8x + -6) = -6x + -22

Reorder the terms:
-5n(-6 + -8x) = -6x + -22
(-6 * -5n + -8x * -5n) = -6x + -22
(30n + 40nx) = -6x + -22

Reorder the terms:
30n + 40nx = -22 + -6x

Solving
30n + 40nx = -22 + -6x

Solving for variable 'n'.

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

Reorder the terms:
22 + 30n + 40nx + 6x = -22 + -6x + 22 + 6x

Reorder the terms:
22 + 30n + 40nx + 6x = -22 + 22 + -6x + 6x

Combine like terms: -22 + 22 = 0
22 + 30n + 40nx + 6x = 0 + -6x + 6x
22 + 30n + 40nx + 6x = -6x + 6x

Combine like terms: -6x + 6x = 0
22 + 30n + 40nx + 6x = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(11 + 15n + 20nx + 3x) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(11 + 15n + 20nx + 3x)' equal to zero and attempt to solve:

Simplifying
11 + 15n + 20nx + 3x = 0

Solving
11 + 15n + 20nx + 3x = 0

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

Add '-11' to each side of the equation.
11 + 15n + 20nx + -11 + 3x = 0 + -11

Reorder the terms:
11 + -11 + 15n + 20nx + 3x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 15n + 20nx + 3x = 0 + -11
15n + 20nx + 3x = 0 + -11

Combine like terms: 0 + -11 = -11
15n + 20nx + 3x = -11

Add '-3x' to each side of the equation.
15n + 20nx + 3x + -3x = -11 + -3x

Combine like terms: 3x + -3x = 0
15n + 20nx + 0 = -11 + -3x
15n + 20nx = -11 + -3x

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.

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