-1log[8](-3n+2)-24=26

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Solution for -1log[8](-3n+2)-24=26 equation:


Simplifying
-1log[8](-3n + 2) + -24 = 26

Reorder the terms:
-1glo * 8(2 + -3n) + -24 = 26

Reorder the terms for easier multiplication:
-1 * 8glo(2 + -3n) + -24 = 26

Multiply -1 * 8
-8glo(2 + -3n) + -24 = 26
(2 * -8glo + -3n * -8glo) + -24 = 26

Reorder the terms:
(24glno + -16glo) + -24 = 26
(24glno + -16glo) + -24 = 26

Reorder the terms:
-24 + 24glno + -16glo = 26

Solving
-24 + 24glno + -16glo = 26

Solving for variable 'g'.

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

Add '24' to each side of the equation.
-24 + 24glno + 24 + -16glo = 26 + 24

Reorder the terms:
-24 + 24 + 24glno + -16glo = 26 + 24

Combine like terms: -24 + 24 = 0
0 + 24glno + -16glo = 26 + 24
24glno + -16glo = 26 + 24

Combine like terms: 26 + 24 = 50
24glno + -16glo = 50

Reorder the terms:
-50 + 24glno + -16glo = 50 + -50

Combine like terms: 50 + -50 = 0
-50 + 24glno + -16glo = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-25 + 12glno + -8glo) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-25 + 12glno + -8glo)' equal to zero and attempt to solve: Simplifying -25 + 12glno + -8glo = 0 Solving -25 + 12glno + -8glo = 0 Move all terms containing g to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 12glno + 25 + -8glo = 0 + 25 Reorder the terms: -25 + 25 + 12glno + -8glo = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 12glno + -8glo = 0 + 25 12glno + -8glo = 0 + 25 Combine like terms: 0 + 25 = 25 12glno + -8glo = 25 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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