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Simplifying 3y + lnX = 2ln(4y + -1) Reorder the terms: lnX + 3y = 2ln(4y + -1) Reorder the terms: lnX + 3y = 2ln(-1 + 4y) lnX + 3y = (-1 * 2ln + 4y * 2ln) lnX + 3y = (-2ln + 8lny) Solving lnX + 3y = -2ln + 8lny Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '2ln' to each side of the equation. lnX + 2ln + 3y = -2ln + 2ln + 8lny Reorder the terms: 2ln + lnX + 3y = -2ln + 2ln + 8lny Combine like terms: -2ln + 2ln = 0 2ln + lnX + 3y = 0 + 8lny 2ln + lnX + 3y = 8lny Add '-8lny' to each side of the equation. 2ln + lnX + -8lny + 3y = 8lny + -8lny Combine like terms: 8lny + -8lny = 0 2ln + lnX + -8lny + 3y = 0 Add '-3y' to each side of the equation. 2ln + lnX + -8lny + 3y + -3y = 0 + -3y Combine like terms: 3y + -3y = 0 2ln + lnX + -8lny + 0 = 0 + -3y 2ln + lnX + -8lny = 0 + -3y Remove the zero: 2ln + lnX + -8lny = -3y Combine like terms: -3y + 3y = 0 2ln + lnX + -8lny + 3y = 0 The solution to this equation could not be determined.
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