Ln(-r+10)=ln(r+10)

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Solution for Ln(-r+10)=ln(r+10) equation: 


Simplifying
Ln(-1r + 10) = ln(r + 10)

Reorder the terms:
nL(10 + -1r) = ln(r + 10)
(10 * nL + -1r * nL) = ln(r + 10)
(10nL + -1nrL) = ln(r + 10)

Reorder the terms:
10nL + -1nrL = ln(10 + r)
10nL + -1nrL = (10 * ln + r * ln)
10nL + -1nrL = (10ln + lnr)

Solving
10nL + -1nrL = 10ln + lnr

Solving for variable 'n'.

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

Add '-10ln' to each side of the equation.
10nL + -10ln + -1nrL = 10ln + -10ln + lnr

Reorder the terms:
-10ln + 10nL + -1nrL = 10ln + -10ln + lnr

Combine like terms: 10ln + -10ln = 0
-10ln + 10nL + -1nrL = 0 + lnr
-10ln + 10nL + -1nrL = lnr

Add '-1lnr' to each side of the equation.
-10ln + 10nL + -1lnr + -1nrL = lnr + -1lnr

Reorder the terms:
-10ln + -1lnr + 10nL + -1nrL = lnr + -1lnr

Combine like terms: lnr + -1lnr = 0
-10ln + -1lnr + 10nL + -1nrL = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(-10l + -1lr + 10L + -1rL) = 0


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

Simplifying
n = 0

Solving
n = 0

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

Simplifying
n = 0

Subproblem 2
Set the factor '(-10l + -1lr + 10L + -1rL)' equal to zero and attempt to solve:

Simplifying
-10l + -1lr + 10L + -1rL = 0

Reorder the terms:
10L + -10l + -1lr + -1rL = 0

Solving
10L + -10l + -1lr + -1rL = 0

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

Add '-10L' to each side of the equation.
10L + -10l + -1lr + -10L + -1rL = 0 + -10L

Reorder the terms:
10L + -10L + -10l + -1lr + -1rL = 0 + -10L

Combine like terms: 10L + -10L = 0
0 + -10l + -1lr + -1rL = 0 + -10L
-10l + -1lr + -1rL = 0 + -10L
Remove the zero:
-10l + -1lr + -1rL = -10L

Add '10l' to each side of the equation.
-10l + -1lr + 10l + -1rL = -10L + 10l

Reorder the terms:
-10l + 10l + -1lr + -1rL = -10L + 10l

Combine like terms: -10l + 10l = 0
0 + -1lr + -1rL = -10L + 10l
-1lr + -1rL = -10L + 10l

Add 'lr' to each side of the equation.
-1lr + lr + -1rL = -10L + 10l + lr

Combine like terms: -1lr + lr = 0
0 + -1rL = -10L + 10l + lr
-1rL = -10L + 10l + lr

Add 'rL' to each side of the equation.
-1rL + rL = -10L + 10l + lr + rL

Combine like terms: -1rL + rL = 0
0 = -10L + 10l + lr + rL

Simplifying
0 = -10L + 10l + lr + rL

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
n = {0}

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