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Simplifying (8 + 3i) + (-6 + -12i) = 0 Remove parenthesis around (8 + 3i) 8 + 3i + (-6 + -12i) = 0 Remove parenthesis around (-6 + -12i) 8 + 3i + -6 + -12i = 0 Reorder the terms: 8 + -6 + 3i + -12i = 0 Combine like terms: 8 + -6 = 2 2 + 3i + -12i = 0 Combine like terms: 3i + -12i = -9i 2 + -9i = 0 Solving 2 + -9i = 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 + -9i = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -9i = 0 + -2 -9i = 0 + -2 Combine like terms: 0 + -2 = -2 -9i = -2 Divide each side by '-9'. i = 0.2222222222 Simplifying i = 0.2222222222
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