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Simplifying (10 + 3i) + -1(-8 + 2i) = 0 Remove parenthesis around (10 + 3i) 10 + 3i + -1(-8 + 2i) = 0 10 + 3i + (-8 * -1 + 2i * -1) = 0 10 + 3i + (8 + -2i) = 0 Reorder the terms: 10 + 8 + 3i + -2i = 0 Combine like terms: 10 + 8 = 18 18 + 3i + -2i = 0 Combine like terms: 3i + -2i = 1i 18 + 1i = 0 Solving 18 + 1i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 1i = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 1i = 0 + -18 1i = 0 + -18 Combine like terms: 0 + -18 = -18 1i = -18 Divide each side by '1'. i = -18 Simplifying i = -18
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