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Simplifying 3lnx + -4 = 2lnx + 1 Reorder the terms: -4 + 3lnx = 2lnx + 1 Reorder the terms: -4 + 3lnx = 1 + 2lnx Solving -4 + 3lnx = 1 + 2lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-2lnx' to each side of the equation. -4 + 3lnx + -2lnx = 1 + 2lnx + -2lnx Combine like terms: 3lnx + -2lnx = 1lnx -4 + 1lnx = 1 + 2lnx + -2lnx Combine like terms: 2lnx + -2lnx = 0 -4 + 1lnx = 1 + 0 -4 + 1lnx = 1 Add '4' to each side of the equation. -4 + 4 + 1lnx = 1 + 4 Combine like terms: -4 + 4 = 0 0 + 1lnx = 1 + 4 1lnx = 1 + 4 Combine like terms: 1 + 4 = 5 1lnx = 5 Divide each side by '1nx'. l = 5n-1x-1 Simplifying l = 5n-1x-1
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