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Simplifying (-5 + 7i) + (-8 + -9i) = 0 Remove parenthesis around (-5 + 7i) -5 + 7i + (-8 + -9i) = 0 Remove parenthesis around (-8 + -9i) -5 + 7i + -8 + -9i = 0 Reorder the terms: -5 + -8 + 7i + -9i = 0 Combine like terms: -5 + -8 = -13 -13 + 7i + -9i = 0 Combine like terms: 7i + -9i = -2i -13 + -2i = 0 Solving -13 + -2i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -2i = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -2i = 0 + 13 -2i = 0 + 13 Combine like terms: 0 + 13 = 13 -2i = 13 Divide each side by '-2'. i = -6.5 Simplifying i = -6.5
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