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Simplifying 8 + -2ln(7t + -4) = 2 Reorder the terms: 8 + -2ln(-4 + 7t) = 2 8 + (-4 * -2ln + 7t * -2ln) = 2 8 + (8ln + -14lnt) = 2 Solving 8 + 8ln + -14lnt = 2 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 8ln + -8 + -14lnt = 2 + -8 Reorder the terms: 8 + -8 + 8ln + -14lnt = 2 + -8 Combine like terms: 8 + -8 = 0 0 + 8ln + -14lnt = 2 + -8 8ln + -14lnt = 2 + -8 Combine like terms: 2 + -8 = -6 8ln + -14lnt = -6 Reorder the terms: 6 + 8ln + -14lnt = -6 + 6 Combine like terms: -6 + 6 = 0 6 + 8ln + -14lnt = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(3 + 4ln + -7lnt) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(3 + 4ln + -7lnt)' equal to zero and attempt to solve: Simplifying 3 + 4ln + -7lnt = 0 Solving 3 + 4ln + -7lnt = 0 Move all terms containing l to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 4ln + -3 + -7lnt = 0 + -3 Reorder the terms: 3 + -3 + 4ln + -7lnt = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4ln + -7lnt = 0 + -3 4ln + -7lnt = 0 + -3 Combine like terms: 0 + -3 = -3 4ln + -7lnt = -3 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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