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Simplifying 16 + -1(2 + -3i) + -1i = 0 16 + (2 * -1 + -3i * -1) + -1i = 0 16 + (-2 + 3i) + -1i = 0 Combine like terms: 16 + -2 = 14 14 + 3i + -1i = 0 Combine like terms: 3i + -1i = 2i 14 + 2i = 0 Solving 14 + 2i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 2i = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 2i = 0 + -14 2i = 0 + -14 Combine like terms: 0 + -14 = -14 2i = -14 Divide each side by '2'. i = -7 Simplifying i = -7
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