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Simplifying (5 + -3i) + (-3 + -6i) = 0 Remove parenthesis around (5 + -3i) 5 + -3i + (-3 + -6i) = 0 Remove parenthesis around (-3 + -6i) 5 + -3i + -3 + -6i = 0 Reorder the terms: 5 + -3 + -3i + -6i = 0 Combine like terms: 5 + -3 = 2 2 + -3i + -6i = 0 Combine like terms: -3i + -6i = -9i 2 + -9i = 0 Solving 2 + -9i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -9i = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -9i = 0 + -2 -9i = 0 + -2 Combine like terms: 0 + -2 = -2 -9i = -2 Divide each side by '-9'. i = 0.2222222222 Simplifying i = 0.2222222222
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