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Simplifying (7 + -3i) + -1(-9 + 5i) = 0 Remove parenthesis around (7 + -3i) 7 + -3i + -1(-9 + 5i) = 0 7 + -3i + (-9 * -1 + 5i * -1) = 0 7 + -3i + (9 + -5i) = 0 Reorder the terms: 7 + 9 + -3i + -5i = 0 Combine like terms: 7 + 9 = 16 16 + -3i + -5i = 0 Combine like terms: -3i + -5i = -8i 16 + -8i = 0 Solving 16 + -8i = 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 + -8i = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -8i = 0 + -16 -8i = 0 + -16 Combine like terms: 0 + -16 = -16 -8i = -16 Divide each side by '-8'. i = 2 Simplifying i = 2
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