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Simplifying (25 + 20i + -4) + -4(21 + i) = 0 Reorder the terms: (25 + -4 + 20i) + -4(21 + i) = 0 Combine like terms: 25 + -4 = 21 (21 + 20i) + -4(21 + i) = 0 Remove parenthesis around (21 + 20i) 21 + 20i + -4(21 + i) = 0 21 + 20i + (21 * -4 + i * -4) = 0 21 + 20i + (-84 + -4i) = 0 Reorder the terms: 21 + -84 + 20i + -4i = 0 Combine like terms: 21 + -84 = -63 -63 + 20i + -4i = 0 Combine like terms: 20i + -4i = 16i -63 + 16i = 0 Solving -63 + 16i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '63' to each side of the equation. -63 + 63 + 16i = 0 + 63 Combine like terms: -63 + 63 = 0 0 + 16i = 0 + 63 16i = 0 + 63 Combine like terms: 0 + 63 = 63 16i = 63 Divide each side by '16'. i = 3.9375 Simplifying i = 3.9375
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