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Simplifying -11 + 15ln(6x) = 45 Remove parenthesis around (6x) -11 + 15ln * 6x = 45 Reorder the terms for easier multiplication: -11 + 15 * 6ln * x = 45 Multiply 15 * 6 -11 + 90ln * x = 45 Multiply ln * x -11 + 90lnx = 45 Solving -11 + 90lnx = 45 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 90lnx = 45 + 11 Combine like terms: -11 + 11 = 0 0 + 90lnx = 45 + 11 90lnx = 45 + 11 Combine like terms: 45 + 11 = 56 90lnx = 56 Divide each side by '90nx'. l = 0.6222222222n-1x-1 Simplifying l = 0.6222222222n-1x-1
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