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Simplifying 2Ln(x + -5) + 9 = 21 Reorder the terms: 2nL(-5 + x) + 9 = 21 (-5 * 2nL + x * 2nL) + 9 = 21 (-10nL + 2nxL) + 9 = 21 Reorder the terms: 9 + -10nL + 2nxL = 21 Solving 9 + -10nL + 2nxL = 21 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -10nL + -9 + 2nxL = 21 + -9 Reorder the terms: 9 + -9 + -10nL + 2nxL = 21 + -9 Combine like terms: 9 + -9 = 0 0 + -10nL + 2nxL = 21 + -9 -10nL + 2nxL = 21 + -9 Combine like terms: 21 + -9 = 12 -10nL + 2nxL = 12 Reorder the terms: -12 + -10nL + 2nxL = 12 + -12 Combine like terms: 12 + -12 = 0 -12 + -10nL + 2nxL = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-6 + -5nL + nxL) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-6 + -5nL + nxL)' equal to zero and attempt to solve: Simplifying -6 + -5nL + nxL = 0 Solving -6 + -5nL + nxL = 0 Move all terms containing n to the left, all other terms to the right. Add '6' to each side of the equation. -6 + -5nL + 6 + nxL = 0 + 6 Reorder the terms: -6 + 6 + -5nL + nxL = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -5nL + nxL = 0 + 6 -5nL + nxL = 0 + 6 Combine like terms: 0 + 6 = 6 -5nL + nxL = 6 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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