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Simplifying (9 + -3i) + -1(1 + 7i) = 0 Remove parenthesis around (9 + -3i) 9 + -3i + -1(1 + 7i) = 0 9 + -3i + (1 * -1 + 7i * -1) = 0 9 + -3i + (-1 + -7i) = 0 Reorder the terms: 9 + -1 + -3i + -7i = 0 Combine like terms: 9 + -1 = 8 8 + -3i + -7i = 0 Combine like terms: -3i + -7i = -10i 8 + -10i = 0 Solving 8 + -10i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -10i = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -10i = 0 + -8 -10i = 0 + -8 Combine like terms: 0 + -8 = -8 -10i = -8 Divide each side by '-10'. i = 0.8 Simplifying i = 0.8
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