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Simplifying In(3x) + in(2x) = 9 Remove parenthesis around (3x) nI * 3x + in(2x) = 9 Reorder the terms for easier multiplication: 3nI * x + in(2x) = 9 Multiply nI * x 3nxI + in(2x) = 9 Remove parenthesis around (2x) 3nxI + in * 2x = 9 Reorder the terms for easier multiplication: 3nxI + 2in * x = 9 Multiply in * x 3nxI + 2inx = 9 Reorder the terms: 2inx + 3nxI = 9 Solving 2inx + 3nxI = 9 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-3nxI' to each side of the equation. 2inx + 3nxI + -3nxI = 9 + -3nxI Combine like terms: 3nxI + -3nxI = 0 2inx + 0 = 9 + -3nxI 2inx = 9 + -3nxI Divide each side by '2nx'. i = 4.5n-1x-1 + -1.5I Simplifying i = 4.5n-1x-1 + -1.5I Reorder the terms: i = -1.5I + 4.5n-1x-1
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