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Simplifying (21 + 2i) + (13 + -8i) = 0 Remove parenthesis around (21 + 2i) 21 + 2i + (13 + -8i) = 0 Remove parenthesis around (13 + -8i) 21 + 2i + 13 + -8i = 0 Reorder the terms: 21 + 13 + 2i + -8i = 0 Combine like terms: 21 + 13 = 34 34 + 2i + -8i = 0 Combine like terms: 2i + -8i = -6i 34 + -6i = 0 Solving 34 + -6i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + -6i = 0 + -34 Combine like terms: 34 + -34 = 0 0 + -6i = 0 + -34 -6i = 0 + -34 Combine like terms: 0 + -34 = -34 -6i = -34 Divide each side by '-6'. i = 5.666666667 Simplifying i = 5.666666667
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