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Simplifying (5 + 2i) + -1(20 + -7i) = 0 Remove parenthesis around (5 + 2i) 5 + 2i + -1(20 + -7i) = 0 5 + 2i + (20 * -1 + -7i * -1) = 0 5 + 2i + (-20 + 7i) = 0 Reorder the terms: 5 + -20 + 2i + 7i = 0 Combine like terms: 5 + -20 = -15 -15 + 2i + 7i = 0 Combine like terms: 2i + 7i = 9i -15 + 9i = 0 Solving -15 + 9i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 9i = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 9i = 0 + 15 9i = 0 + 15 Combine like terms: 0 + 15 = 15 9i = 15 Divide each side by '9'. i = 1.666666667 Simplifying i = 1.666666667
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