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Simplifying (4 + -8i) + (-13 + 23i) = 0 Remove parenthesis around (4 + -8i) 4 + -8i + (-13 + 23i) = 0 Remove parenthesis around (-13 + 23i) 4 + -8i + -13 + 23i = 0 Reorder the terms: 4 + -13 + -8i + 23i = 0 Combine like terms: 4 + -13 = -9 -9 + -8i + 23i = 0 Combine like terms: -8i + 23i = 15i -9 + 15i = 0 Solving -9 + 15i = 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 + 15i = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 15i = 0 + 9 15i = 0 + 9 Combine like terms: 0 + 9 = 9 15i = 9 Divide each side by '15'. i = 0.6 Simplifying i = 0.6
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