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Simplifying (4 + -9i) + (1 + -3i) = 0 Remove parenthesis around (4 + -9i) 4 + -9i + (1 + -3i) = 0 Remove parenthesis around (1 + -3i) 4 + -9i + 1 + -3i = 0 Reorder the terms: 4 + 1 + -9i + -3i = 0 Combine like terms: 4 + 1 = 5 5 + -9i + -3i = 0 Combine like terms: -9i + -3i = -12i 5 + -12i = 0 Solving 5 + -12i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -12i = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -12i = 0 + -5 -12i = 0 + -5 Combine like terms: 0 + -5 = -5 -12i = -5 Divide each side by '-12'. i = 0.4166666667 Simplifying i = 0.4166666667
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