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Simplifying -1lnx + 4 = 3lnx + 6 Reorder the terms: 4 + -1lnx = 3lnx + 6 Reorder the terms: 4 + -1lnx = 6 + 3lnx Solving 4 + -1lnx = 6 + 3lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-3lnx' to each side of the equation. 4 + -1lnx + -3lnx = 6 + 3lnx + -3lnx Combine like terms: -1lnx + -3lnx = -4lnx 4 + -4lnx = 6 + 3lnx + -3lnx Combine like terms: 3lnx + -3lnx = 0 4 + -4lnx = 6 + 0 4 + -4lnx = 6 Add '-4' to each side of the equation. 4 + -4 + -4lnx = 6 + -4 Combine like terms: 4 + -4 = 0 0 + -4lnx = 6 + -4 -4lnx = 6 + -4 Combine like terms: 6 + -4 = 2 -4lnx = 2 Divide each side by '-4nx'. l = -0.5n-1x-1 Simplifying l = -0.5n-1x-1
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