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Simplifying (5 + 2i) + -1(23 + -8i) = 0 Remove parenthesis around (5 + 2i) 5 + 2i + -1(23 + -8i) = 0 5 + 2i + (23 * -1 + -8i * -1) = 0 5 + 2i + (-23 + 8i) = 0 Reorder the terms: 5 + -23 + 2i + 8i = 0 Combine like terms: 5 + -23 = -18 -18 + 2i + 8i = 0 Combine like terms: 2i + 8i = 10i -18 + 10i = 0 Solving -18 + 10i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 10i = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 10i = 0 + 18 10i = 0 + 18 Combine like terms: 0 + 18 = 18 10i = 18 Divide each side by '10'. i = 1.8 Simplifying i = 1.8
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