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Simplifying 4ln(6 + -5t) + 2 = 22 (6 * 4ln + -5t * 4ln) + 2 = 22 (24ln + -20lnt) + 2 = 22 Reorder the terms: 2 + 24ln + -20lnt = 22 Solving 2 + 24ln + -20lnt = 22 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 24ln + -2 + -20lnt = 22 + -2 Reorder the terms: 2 + -2 + 24ln + -20lnt = 22 + -2 Combine like terms: 2 + -2 = 0 0 + 24ln + -20lnt = 22 + -2 24ln + -20lnt = 22 + -2 Combine like terms: 22 + -2 = 20 24ln + -20lnt = 20 Reorder the terms: -20 + 24ln + -20lnt = 20 + -20 Combine like terms: 20 + -20 = 0 -20 + 24ln + -20lnt = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-5 + 6ln + -5lnt) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-5 + 6ln + -5lnt)' equal to zero and attempt to solve: Simplifying -5 + 6ln + -5lnt = 0 Solving -5 + 6ln + -5lnt = 0 Move all terms containing l to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 6ln + 5 + -5lnt = 0 + 5 Reorder the terms: -5 + 5 + 6ln + -5lnt = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 6ln + -5lnt = 0 + 5 6ln + -5lnt = 0 + 5 Combine like terms: 0 + 5 = 5 6ln + -5lnt = 5 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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