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Simplifying (7 + -3i) + -1(-2 + 5i) = 0 Remove parenthesis around (7 + -3i) 7 + -3i + -1(-2 + 5i) = 0 7 + -3i + (-2 * -1 + 5i * -1) = 0 7 + -3i + (2 + -5i) = 0 Reorder the terms: 7 + 2 + -3i + -5i = 0 Combine like terms: 7 + 2 = 9 9 + -3i + -5i = 0 Combine like terms: -3i + -5i = -8i 9 + -8i = 0 Solving 9 + -8i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -8i = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -8i = 0 + -9 -8i = 0 + -9 Combine like terms: 0 + -9 = -9 -8i = -9 Divide each side by '-8'. i = 1.125 Simplifying i = 1.125
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