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Simplifying (2 + -3i) + (5 + -6i) = 0 Remove parenthesis around (2 + -3i) 2 + -3i + (5 + -6i) = 0 Remove parenthesis around (5 + -6i) 2 + -3i + 5 + -6i = 0 Reorder the terms: 2 + 5 + -3i + -6i = 0 Combine like terms: 2 + 5 = 7 7 + -3i + -6i = 0 Combine like terms: -3i + -6i = -9i 7 + -9i = 0 Solving 7 + -9i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -9i = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -9i = 0 + -7 -9i = 0 + -7 Combine like terms: 0 + -7 = -7 -9i = -7 Divide each side by '-9'. i = 0.7777777778 Simplifying i = 0.7777777778
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