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Simplifying n(4x + -9) + ln(3x) = 2lnx Reorder the terms: n(-9 + 4x) + ln(3x) = 2lnx (-9 * n + 4x * n) + ln(3x) = 2lnx (-9n + 4nx) + ln(3x) = 2lnx Remove parenthesis around (3x) -9n + 4nx + ln * 3x = 2lnx Reorder the terms for easier multiplication: -9n + 4nx + 3ln * x = 2lnx Multiply ln * x -9n + 4nx + 3lnx = 2lnx Reorder the terms: 3lnx + -9n + 4nx = 2lnx Solving 3lnx + -9n + 4nx = 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. 3lnx + -9n + -2lnx + 4nx = 2lnx + -2lnx Reorder the terms: 3lnx + -2lnx + -9n + 4nx = 2lnx + -2lnx Combine like terms: 3lnx + -2lnx = 1lnx 1lnx + -9n + 4nx = 2lnx + -2lnx Combine like terms: 2lnx + -2lnx = 0 1lnx + -9n + 4nx = 0 Add '9n' to each side of the equation. 1lnx + -9n + 9n + 4nx = 0 + 9n Combine like terms: -9n + 9n = 0 1lnx + 0 + 4nx = 0 + 9n 1lnx + 4nx = 0 + 9n Remove the zero: 1lnx + 4nx = 9n Add '-4nx' to each side of the equation. 1lnx + 4nx + -4nx = 9n + -4nx Combine like terms: 4nx + -4nx = 0 1lnx + 0 = 9n + -4nx 1lnx = 9n + -4nx Divide each side by '1nx'. l = 9x-1 + -4 Simplifying l = 9x-1 + -4 Reorder the terms: l = -4 + 9x-1
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