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Simplifying (6 + -20i) + -1(23 + -10i) = 0 Remove parenthesis around (6 + -20i) 6 + -20i + -1(23 + -10i) = 0 6 + -20i + (23 * -1 + -10i * -1) = 0 6 + -20i + (-23 + 10i) = 0 Reorder the terms: 6 + -23 + -20i + 10i = 0 Combine like terms: 6 + -23 = -17 -17 + -20i + 10i = 0 Combine like terms: -20i + 10i = -10i -17 + -10i = 0 Solving -17 + -10i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + -10i = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -10i = 0 + 17 -10i = 0 + 17 Combine like terms: 0 + 17 = 17 -10i = 17 Divide each side by '-10'. i = -1.7 Simplifying i = -1.7
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