(3ln(2*3)-3)-(1ln(2*1)-1)=

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


Simplifying
(3ln(2 * 3) + -3) + -1(1ln(2 * 1) + -1) = 0

Multiply 2 * 3
(3ln(6) + -3) + -1(1ln(2 * 1) + -1) = 0

Reorder the terms for easier multiplication:
(3 * 6ln + -3) + -1(1ln(2 * 1) + -1) = 0

Multiply 3 * 6
(18ln + -3) + -1(1ln(2 * 1) + -1) = 0

Reorder the terms:
(-3 + 18ln) + -1(1ln(2 * 1) + -1) = 0

Remove parenthesis around (-3 + 18ln)
-3 + 18ln + -1(1ln(2 * 1) + -1) = 0

Multiply 2 * 1
-3 + 18ln + -1(1ln(2) + -1) = 0

Reorder the terms for easier multiplication:
-3 + 18ln + -1(1 * 2ln + -1) = 0

Multiply 1 * 2
-3 + 18ln + -1(2ln + -1) = 0

Reorder the terms:
-3 + 18ln + -1(-1 + 2ln) = 0
-3 + 18ln + (-1 * -1 + 2ln * -1) = 0
-3 + 18ln + (1 + -2ln) = 0

Reorder the terms:
-3 + 1 + 18ln + -2ln = 0

Combine like terms: -3 + 1 = -2
-2 + 18ln + -2ln = 0

Combine like terms: 18ln + -2ln = 16ln
-2 + 16ln = 0

Solving
-2 + 16ln = 0

Solving for variable 'l'.

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

Add '2' to each side of the equation.
-2 + 2 + 16ln = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 16ln = 0 + 2
16ln = 0 + 2

Combine like terms: 0 + 2 = 2
16ln = 2

Divide each side by '16n'.
l = 0.125n-1

Simplifying
l = 0.125n-1

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