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Simplifying (5 + -2i) + (-13 + -8i) = 0 Remove parenthesis around (5 + -2i) 5 + -2i + (-13 + -8i) = 0 Remove parenthesis around (-13 + -8i) 5 + -2i + -13 + -8i = 0 Reorder the terms: 5 + -13 + -2i + -8i = 0 Combine like terms: 5 + -13 = -8 -8 + -2i + -8i = 0 Combine like terms: -2i + -8i = -10i -8 + -10i = 0 Solving -8 + -10i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -10i = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -10i = 0 + 8 -10i = 0 + 8 Combine like terms: 0 + 8 = 8 -10i = 8 Divide each side by '-10'. i = -0.8 Simplifying i = -0.8
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