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Simplifying (7 + 9i) + (-10 + -49) = 0 Remove parenthesis around (7 + 9i) 7 + 9i + (-10 + -49) = 0 Combine like terms: -10 + -49 = -59 7 + 9i + (-59) = 0 7 + 9i + -59 = 0 Reorder the terms: 7 + -59 + 9i = 0 Combine like terms: 7 + -59 = -52 -52 + 9i = 0 Solving -52 + 9i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '52' to each side of the equation. -52 + 52 + 9i = 0 + 52 Combine like terms: -52 + 52 = 0 0 + 9i = 0 + 52 9i = 0 + 52 Combine like terms: 0 + 52 = 52 9i = 52 Divide each side by '9'. i = 5.777777778 Simplifying i = 5.777777778
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