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Simplifying (15 + 5i) + (-10 + -9i) = 0 Remove parenthesis around (15 + 5i) 15 + 5i + (-10 + -9i) = 0 Remove parenthesis around (-10 + -9i) 15 + 5i + -10 + -9i = 0 Reorder the terms: 15 + -10 + 5i + -9i = 0 Combine like terms: 15 + -10 = 5 5 + 5i + -9i = 0 Combine like terms: 5i + -9i = -4i 5 + -4i = 0 Solving 5 + -4i = 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 + -4i = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4i = 0 + -5 -4i = 0 + -5 Combine like terms: 0 + -5 = -5 -4i = -5 Divide each side by '-4'. i = 1.25 Simplifying i = 1.25
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