9ln(-8n+7)+5=41

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Solution for 9ln(-8n+7)+5=41 equation: 


Simplifying
9ln(-8n + 7) + 5 = 41

Reorder the terms:
9ln(7 + -8n) + 5 = 41
(7 * 9ln + -8n * 9ln) + 5 = 41
(63ln + -72ln2) + 5 = 41

Reorder the terms:
5 + 63ln + -72ln2 = 41

Solving
5 + 63ln + -72ln2 = 41

Solving for variable 'l'.

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

Add '-5' to each side of the equation.
5 + 63ln + -5 + -72ln2 = 41 + -5

Reorder the terms:
5 + -5 + 63ln + -72ln2 = 41 + -5

Combine like terms: 5 + -5 = 0
0 + 63ln + -72ln2 = 41 + -5
63ln + -72ln2 = 41 + -5

Combine like terms: 41 + -5 = 36
63ln + -72ln2 = 36

Reorder the terms:
-36 + 63ln + -72ln2 = 36 + -36

Combine like terms: 36 + -36 = 0
-36 + 63ln + -72ln2 = 0

Factor out the Greatest Common Factor (GCF), '9'.
9(-4 + 7ln + -8ln2) = 0

Ignore the factor 9.

Subproblem 1
Set the factor '(-4 + 7ln + -8ln2)' equal to zero and attempt to solve:

Simplifying
-4 + 7ln + -8ln2 = 0

Solving
-4 + 7ln + -8ln2 = 0

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

Add '4' to each side of the equation.
-4 + 7ln + 4 + -8ln2 = 0 + 4

Reorder the terms:
-4 + 4 + 7ln + -8ln2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 7ln + -8ln2 = 0 + 4
7ln + -8ln2 = 0 + 4

Combine like terms: 0 + 4 = 4
7ln + -8ln2 = 4

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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