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Simplifying (7 + -16i) + (13 + 8i) + -1(22 + 50i) = 0 Remove parenthesis around (7 + -16i) 7 + -16i + (13 + 8i) + -1(22 + 50i) = 0 Remove parenthesis around (13 + 8i) 7 + -16i + 13 + 8i + -1(22 + 50i) = 0 7 + -16i + 13 + 8i + (22 * -1 + 50i * -1) = 0 7 + -16i + 13 + 8i + (-22 + -50i) = 0 Reorder the terms: 7 + 13 + -22 + -16i + 8i + -50i = 0 Combine like terms: 7 + 13 = 20 20 + -22 + -16i + 8i + -50i = 0 Combine like terms: 20 + -22 = -2 -2 + -16i + 8i + -50i = 0 Combine like terms: -16i + 8i = -8i -2 + -8i + -50i = 0 Combine like terms: -8i + -50i = -58i -2 + -58i = 0 Solving -2 + -58i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -58i = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -58i = 0 + 2 -58i = 0 + 2 Combine like terms: 0 + 2 = 2 -58i = 2 Divide each side by '-58'. i = -0.03448275862 Simplifying i = -0.03448275862
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