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Simplifying (9x + -9) + ln(8x) = 2lnx Reorder the terms: (-9 + 9x) + ln(8x) = 2lnx Remove parenthesis around (-9 + 9x) -9 + 9x + ln(8x) = 2lnx Remove parenthesis around (8x) -9 + 9x + ln * 8x = 2lnx Reorder the terms for easier multiplication: -9 + 9x + 8ln * x = 2lnx Multiply ln * x -9 + 9x + 8lnx = 2lnx Reorder the terms: -9 + 8lnx + 9x = 2lnx Solving -9 + 8lnx + 9x = 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. -9 + 8lnx + -2lnx + 9x = 2lnx + -2lnx Combine like terms: 8lnx + -2lnx = 6lnx -9 + 6lnx + 9x = 2lnx + -2lnx Combine like terms: 2lnx + -2lnx = 0 -9 + 6lnx + 9x = 0 Add '9' to each side of the equation. -9 + 6lnx + 9 + 9x = 0 + 9 Reorder the terms: -9 + 9 + 6lnx + 9x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 6lnx + 9x = 0 + 9 6lnx + 9x = 0 + 9 Combine like terms: 0 + 9 = 9 6lnx + 9x = 9 Add '-9x' to each side of the equation. 6lnx + 9x + -9x = 9 + -9x Combine like terms: 9x + -9x = 0 6lnx + 0 = 9 + -9x 6lnx = 9 + -9x Divide each side by '6nx'. l = 1.5n-1x-1 + -1.5n-1 Simplifying l = 1.5n-1x-1 + -1.5n-1 Reorder the terms: l = -1.5n-1 + 1.5n-1x-1
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