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Simplifying (-30 + i) + -1(-2 + 20i) = 0 Remove parenthesis around (-30 + i) -30 + i + -1(-2 + 20i) = 0 -30 + i + (-2 * -1 + 20i * -1) = 0 -30 + i + (2 + -20i) = 0 Reorder the terms: -30 + 2 + i + -20i = 0 Combine like terms: -30 + 2 = -28 -28 + i + -20i = 0 Combine like terms: i + -20i = -19i -28 + -19i = 0 Solving -28 + -19i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + -19i = 0 + 28 Combine like terms: -28 + 28 = 0 0 + -19i = 0 + 28 -19i = 0 + 28 Combine like terms: 0 + 28 = 28 -19i = 28 Divide each side by '-19'. i = -1.473684211 Simplifying i = -1.473684211
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