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Simplifying 3y + 2ln(x) = 4ln(y + 7) Multiply ln * x 3y + 2lnx = 4ln(y + 7) Reorder the terms: 2lnx + 3y = 4ln(y + 7) Reorder the terms: 2lnx + 3y = 4ln(7 + y) 2lnx + 3y = (7 * 4ln + y * 4ln) 2lnx + 3y = (28ln + 4lny) Solving 2lnx + 3y = 28ln + 4lny Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-28ln' to each side of the equation. 2lnx + -28ln + 3y = 28ln + -28ln + 4lny Reorder the terms: -28ln + 2lnx + 3y = 28ln + -28ln + 4lny Combine like terms: 28ln + -28ln = 0 -28ln + 2lnx + 3y = 0 + 4lny -28ln + 2lnx + 3y = 4lny Add '-4lny' to each side of the equation. -28ln + 2lnx + -4lny + 3y = 4lny + -4lny Combine like terms: 4lny + -4lny = 0 -28ln + 2lnx + -4lny + 3y = 0 Add '-3y' to each side of the equation. -28ln + 2lnx + -4lny + 3y + -3y = 0 + -3y Combine like terms: 3y + -3y = 0 -28ln + 2lnx + -4lny + 0 = 0 + -3y -28ln + 2lnx + -4lny = 0 + -3y Remove the zero: -28ln + 2lnx + -4lny = -3y Combine like terms: -3y + 3y = 0 -28ln + 2lnx + -4lny + 3y = 0 The solution to this equation could not be determined.
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