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Simplifying 4Ln(5x + 8) = 14 Reorder the terms: 4nL(8 + 5x) = 14 (8 * 4nL + 5x * 4nL) = 14 (32nL + 20nxL) = 14 Solving 32nL + 20nxL = 14 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Reorder the terms: -14 + 32nL + 20nxL = 14 + -14 Combine like terms: 14 + -14 = 0 -14 + 32nL + 20nxL = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-7 + 16nL + 10nxL) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-7 + 16nL + 10nxL)' equal to zero and attempt to solve: Simplifying -7 + 16nL + 10nxL = 0 Solving -7 + 16nL + 10nxL = 0 Move all terms containing n to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 16nL + 7 + 10nxL = 0 + 7 Reorder the terms: -7 + 7 + 16nL + 10nxL = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 16nL + 10nxL = 0 + 7 16nL + 10nxL = 0 + 7 Combine like terms: 0 + 7 = 7 16nL + 10nxL = 7 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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