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Simplifying 2y + -1ln(x) = 3ln(3y + 5) Multiply ln * x 2y + -1lnx = 3ln(3y + 5) Reorder the terms: -1lnx + 2y = 3ln(3y + 5) Reorder the terms: -1lnx + 2y = 3ln(5 + 3y) -1lnx + 2y = (5 * 3ln + 3y * 3ln) -1lnx + 2y = (15ln + 9lny) Solving -1lnx + 2y = 15ln + 9lny Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-15ln' to each side of the equation. -1lnx + -15ln + 2y = 15ln + -15ln + 9lny Reorder the terms: -15ln + -1lnx + 2y = 15ln + -15ln + 9lny Combine like terms: 15ln + -15ln = 0 -15ln + -1lnx + 2y = 0 + 9lny -15ln + -1lnx + 2y = 9lny Add '-9lny' to each side of the equation. -15ln + -1lnx + -9lny + 2y = 9lny + -9lny Combine like terms: 9lny + -9lny = 0 -15ln + -1lnx + -9lny + 2y = 0 Add '-2y' to each side of the equation. -15ln + -1lnx + -9lny + 2y + -2y = 0 + -2y Combine like terms: 2y + -2y = 0 -15ln + -1lnx + -9lny + 0 = 0 + -2y -15ln + -1lnx + -9lny = 0 + -2y Remove the zero: -15ln + -1lnx + -9lny = -2y Combine like terms: -2y + 2y = 0 -15ln + -1lnx + -9lny + 2y = 0 The solution to this equation could not be determined.
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