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Simplifying 8(3i + -2) = 5(i + -4) + 8 Reorder the terms: 8(-2 + 3i) = 5(i + -4) + 8 (-2 * 8 + 3i * 8) = 5(i + -4) + 8 (-16 + 24i) = 5(i + -4) + 8 Reorder the terms: -16 + 24i = 5(-4 + i) + 8 -16 + 24i = (-4 * 5 + i * 5) + 8 -16 + 24i = (-20 + 5i) + 8 Reorder the terms: -16 + 24i = -20 + 8 + 5i Combine like terms: -20 + 8 = -12 -16 + 24i = -12 + 5i Solving -16 + 24i = -12 + 5i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-5i' to each side of the equation. -16 + 24i + -5i = -12 + 5i + -5i Combine like terms: 24i + -5i = 19i -16 + 19i = -12 + 5i + -5i Combine like terms: 5i + -5i = 0 -16 + 19i = -12 + 0 -16 + 19i = -12 Add '16' to each side of the equation. -16 + 16 + 19i = -12 + 16 Combine like terms: -16 + 16 = 0 0 + 19i = -12 + 16 19i = -12 + 16 Combine like terms: -12 + 16 = 4 19i = 4 Divide each side by '19'. i = 0.2105263158 Simplifying i = 0.2105263158
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