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Simplifying (12 + -8i) + -1(3 + 5i) = 0 Remove parenthesis around (12 + -8i) 12 + -8i + -1(3 + 5i) = 0 12 + -8i + (3 * -1 + 5i * -1) = 0 12 + -8i + (-3 + -5i) = 0 Reorder the terms: 12 + -3 + -8i + -5i = 0 Combine like terms: 12 + -3 = 9 9 + -8i + -5i = 0 Combine like terms: -8i + -5i = -13i 9 + -13i = 0 Solving 9 + -13i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -13i = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -13i = 0 + -9 -13i = 0 + -9 Combine like terms: 0 + -9 = -9 -13i = -9 Divide each side by '-13'. i = 0.6923076923 Simplifying i = 0.6923076923
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