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Simplifying In(x + 4) + -1In(8) = In(5) Reorder the terms: nI(4 + x) + -1In(8) = In(5) (4 * nI + x * nI) + -1In(8) = In(5) (4nI + nxI) + -1In(8) = In(5) Reorder the terms for easier multiplication: 4nI + nxI + -1 * 8nI = In(5) Multiply -1 * 8 4nI + nxI + -8nI = In(5) Reorder the terms: 4nI + -8nI + nxI = In(5) Combine like terms: 4nI + -8nI = -4nI -4nI + nxI = In(5) Reorder the terms for easier multiplication: -4nI + nxI = 5nI Solving -4nI + nxI = 5nI Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5nI' to each side of the equation. -4nI + -5nI + nxI = 5nI + -5nI Combine like terms: -4nI + -5nI = -9nI -9nI + nxI = 5nI + -5nI Combine like terms: 5nI + -5nI = 0 -9nI + nxI = 0 Factor out the Greatest Common Factor (GCF), 'nI'. nI(-9 + x) = 0Subproblem 1
Set the factor 'nI' equal to zero and attempt to solve: Simplifying nI = 0 Solving nI = 0 Move all terms containing n to the left, all other terms to the right. Simplifying nI = 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 '(-9 + x)' equal to zero and attempt to solve: Simplifying -9 + x = 0 Solving -9 + x = 0 Move all terms containing n to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + x = 0 + 9 x = 0 + 9 Combine like terms: 0 + 9 = 9 x = 9 Add '-1x' to each side of the equation. x + -1x = 9 + -1x Combine like terms: x + -1x = 0 0 = 9 + -1x Simplifying 0 = 9 + -1x 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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