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Simplifying 5lnx + 3lnx + -10x + -6 = 0 Reorder the terms: -6 + 5lnx + 3lnx + -10x = 0 Combine like terms: 5lnx + 3lnx = 8lnx -6 + 8lnx + -10x = 0 Solving -6 + 8lnx + -10x = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 8lnx + 6 + -10x = 0 + 6 Reorder the terms: -6 + 6 + 8lnx + -10x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 8lnx + -10x = 0 + 6 8lnx + -10x = 0 + 6 Combine like terms: 0 + 6 = 6 8lnx + -10x = 6 Add '10x' to each side of the equation. 8lnx + -10x + 10x = 6 + 10x Combine like terms: -10x + 10x = 0 8lnx + 0 = 6 + 10x 8lnx = 6 + 10x Divide each side by '8nx'. l = 0.75n-1x-1 + 1.25n-1 Simplifying l = 0.75n-1x-1 + 1.25n-1 Reorder the terms: l = 1.25n-1 + 0.75n-1x-1
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