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Simplifying 6ln(5y + 7) = 36 Reorder the terms: 6ln(7 + 5y) = 36 (7 * 6ln + 5y * 6ln) = 36 (42ln + 30lny) = 36 Solving 42ln + 30lny = 36 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: -36 + 42ln + 30lny = 36 + -36 Combine like terms: 36 + -36 = 0 -36 + 42ln + 30lny = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(-6 + 7ln + 5lny) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-6 + 7ln + 5lny)' equal to zero and attempt to solve: Simplifying -6 + 7ln + 5lny = 0 Solving -6 + 7ln + 5lny = 0 Move all terms containing l to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 7ln + 6 + 5lny = 0 + 6 Reorder the terms: -6 + 6 + 7ln + 5lny = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 7ln + 5lny = 0 + 6 7ln + 5lny = 0 + 6 Combine like terms: 0 + 6 = 6 7ln + 5lny = 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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