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Simplifying 3x + -8ix + 3 = 0 Reorder the terms: 3 + -8ix + 3x = 0 Solving 3 + -8ix + 3x = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -8ix + -3 + 3x = 0 + -3 Reorder the terms: 3 + -3 + -8ix + 3x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -8ix + 3x = 0 + -3 -8ix + 3x = 0 + -3 Combine like terms: 0 + -3 = -3 -8ix + 3x = -3 Add '-3x' to each side of the equation. -8ix + 3x + -3x = -3 + -3x Combine like terms: 3x + -3x = 0 -8ix + 0 = -3 + -3x -8ix = -3 + -3x Divide each side by '-8x'. i = 0.375x-1 + 0.375 Simplifying i = 0.375x-1 + 0.375 Reorder the terms: i = 0.375 + 0.375x-1
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