8N(2n-5)=4n+8

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


Simplifying
8N(2n + -5) = 4n + 8

Reorder the terms:
8N(-5 + 2n) = 4n + 8
(-5 * 8N + 2n * 8N) = 4n + 8
(-40N + 16nN) = 4n + 8

Reorder the terms:
-40N + 16nN = 8 + 4n

Solving
-40N + 16nN = 8 + 4n

Solving for variable 'N'.

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

Reorder the terms:
-8 + -40N + -4n + 16nN = 8 + 4n + -8 + -4n

Reorder the terms:
-8 + -40N + -4n + 16nN = 8 + -8 + 4n + -4n

Combine like terms: 8 + -8 = 0
-8 + -40N + -4n + 16nN = 0 + 4n + -4n
-8 + -40N + -4n + 16nN = 4n + -4n

Combine like terms: 4n + -4n = 0
-8 + -40N + -4n + 16nN = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-2 + -10N + -1n + 4nN) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-2 + -10N + -1n + 4nN)' equal to zero and attempt to solve:

Simplifying
-2 + -10N + -1n + 4nN = 0

Solving
-2 + -10N + -1n + 4nN = 0

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

Add '2' to each side of the equation.
-2 + -10N + -1n + 2 + 4nN = 0 + 2

Reorder the terms:
-2 + 2 + -10N + -1n + 4nN = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -10N + -1n + 4nN = 0 + 2
-10N + -1n + 4nN = 0 + 2

Combine like terms: 0 + 2 = 2
-10N + -1n + 4nN = 2

Add 'n' to each side of the equation.
-10N + -1n + n + 4nN = 2 + n

Combine like terms: -1n + n = 0
-10N + 0 + 4nN = 2 + n
-10N + 4nN = 2 + n

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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