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Simplifying 3i + -1(16 + -4i) = 0 3i + (16 * -1 + -4i * -1) = 0 3i + (-16 + 4i) = 0 Reorder the terms: -16 + 3i + 4i = 0 Combine like terms: 3i + 4i = 7i -16 + 7i = 0 Solving -16 + 7i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 7i = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 7i = 0 + 16 7i = 0 + 16 Combine like terms: 0 + 16 = 16 7i = 16 Divide each side by '7'. i = 2.285714286 Simplifying i = 2.285714286
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