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Simplifying In(2x) + in(x) = in(8x) Remove parenthesis around (2x) nI * 2x + in(x) = in(8x) Reorder the terms for easier multiplication: 2nI * x + in(x) = in(8x) Multiply nI * x 2nxI + in(x) = in(8x) Multiply in * x 2nxI + inx = in(8x) Reorder the terms: inx + 2nxI = in(8x) Remove parenthesis around (8x) inx + 2nxI = in * 8x Reorder the terms for easier multiplication: inx + 2nxI = 8in * x Multiply in * x inx + 2nxI = 8inx Solving inx + 2nxI = 8inx Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-8inx' to each side of the equation. inx + -8inx + 2nxI = 8inx + -8inx Combine like terms: inx + -8inx = -7inx -7inx + 2nxI = 8inx + -8inx Combine like terms: 8inx + -8inx = 0 -7inx + 2nxI = 0 Add '-2nxI' to each side of the equation. -7inx + 2nxI + -2nxI = 0 + -2nxI Combine like terms: 2nxI + -2nxI = 0 -7inx + 0 = 0 + -2nxI -7inx = 0 + -2nxI Remove the zero: -7inx = -2nxI Divide each side by '-7nx'. i = 0.2857142857I Simplifying i = 0.2857142857I
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