1-3ln(-3n+2)=1

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Solution for 1-3ln(-3n+2)=1 equation: 


Simplifying
1 + -3ln(-3n + 2) = 1

Reorder the terms:
1 + -3ln(2 + -3n) = 1
1 + (2 * -3ln + -3n * -3ln) = 1
1 + (-6ln + 9ln2) = 1

Add '-1' to each side of the equation.
1 + -6ln + -1 + 9ln2 = 1 + -1

Reorder the terms:
1 + -1 + -6ln + 9ln2 = 1 + -1

Combine like terms: 1 + -1 = 0
0 + -6ln + 9ln2 = 1 + -1
-6ln + 9ln2 = 1 + -1

Combine like terms: 1 + -1 = 0
-6ln + 9ln2 = 0

Solving
-6ln + 9ln2 = 0

Solving for variable 'l'.

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

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

Ignore the factor 3.

Subproblem 1
Set the factor 'ln' equal to zero and attempt to solve:

Simplifying
ln = 0

Solving
ln = 0

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

Simplifying
ln = 0

The solution to this equation could not be determined.

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

Subproblem 2
Set the factor '(-2 + 3n)' equal to zero and attempt to solve:

Simplifying
-2 + 3n = 0

Solving
-2 + 3n = 0

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

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

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

Combine like terms: 0 + 2 = 2
3n = 2

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

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

Simplifying
0 = 2 + -3n

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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