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Simplifying 0.948 = 0.75x + -1ln(x) Multiply ln * x 0.948 = 0.75x + -1lnx Reorder the terms: 0.948 = -1lnx + 0.75x Solving 0.948 = -1lnx + 0.75x Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add 'lnx' to each side of the equation. 0.948 + lnx = -1lnx + lnx + 0.75x Combine like terms: -1lnx + lnx = 0 0.948 + lnx = 0 + 0.75x 0.948 + lnx = 0.75x Add '-0.948' to each side of the equation. 0.948 + -0.948 + lnx = -0.948 + 0.75x Combine like terms: 0.948 + -0.948 = 0.000 0.000 + lnx = -0.948 + 0.75x lnx = -0.948 + 0.75x Divide each side by 'nx'. l = -0.948n-1x-1 + 0.75n-1 Simplifying l = -0.948n-1x-1 + 0.75n-1 Reorder the terms: l = 0.75n-1 + -0.948n-1x-1
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