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Simplifying (8 + -9i) + (-5 + -3i) = 0 Remove parenthesis around (8 + -9i) 8 + -9i + (-5 + -3i) = 0 Remove parenthesis around (-5 + -3i) 8 + -9i + -5 + -3i = 0 Reorder the terms: 8 + -5 + -9i + -3i = 0 Combine like terms: 8 + -5 = 3 3 + -9i + -3i = 0 Combine like terms: -9i + -3i = -12i 3 + -12i = 0 Solving 3 + -12i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -12i = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -12i = 0 + -3 -12i = 0 + -3 Combine like terms: 0 + -3 = -3 -12i = -3 Divide each side by '-12'. i = 0.25 Simplifying i = 0.25
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