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Simplifying 2(4 + 2i) + (2 + -3i) = 0 (4 * 2 + 2i * 2) + (2 + -3i) = 0 (8 + 4i) + (2 + -3i) = 0 Remove parenthesis around (2 + -3i) 8 + 4i + 2 + -3i = 0 Reorder the terms: 8 + 2 + 4i + -3i = 0 Combine like terms: 8 + 2 = 10 10 + 4i + -3i = 0 Combine like terms: 4i + -3i = 1i 10 + 1i = 0 Solving 10 + 1i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 1i = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 1i = 0 + -10 1i = 0 + -10 Combine like terms: 0 + -10 = -10 1i = -10 Divide each side by '1'. i = -10 Simplifying i = -10
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