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Simplifying (-4 + i) + (21 + -18i) + 10 = 0 Remove parenthesis around (-4 + i) -4 + i + (21 + -18i) + 10 = 0 Remove parenthesis around (21 + -18i) -4 + i + 21 + -18i + 10 = 0 Reorder the terms: -4 + 21 + 10 + i + -18i = 0 Combine like terms: -4 + 21 = 17 17 + 10 + i + -18i = 0 Combine like terms: 17 + 10 = 27 27 + i + -18i = 0 Combine like terms: i + -18i = -17i 27 + -17i = 0 Solving 27 + -17i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + -17i = 0 + -27 Combine like terms: 27 + -27 = 0 0 + -17i = 0 + -27 -17i = 0 + -27 Combine like terms: 0 + -27 = -27 -17i = -27 Divide each side by '-17'. i = 1.588235294 Simplifying i = 1.588235294
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