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Simplifying (16 + -9i) + -1(-10 + -5i) = 0 Remove parenthesis around (16 + -9i) 16 + -9i + -1(-10 + -5i) = 0 16 + -9i + (-10 * -1 + -5i * -1) = 0 16 + -9i + (10 + 5i) = 0 Reorder the terms: 16 + 10 + -9i + 5i = 0 Combine like terms: 16 + 10 = 26 26 + -9i + 5i = 0 Combine like terms: -9i + 5i = -4i 26 + -4i = 0 Solving 26 + -4i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + -4i = 0 + -26 Combine like terms: 26 + -26 = 0 0 + -4i = 0 + -26 -4i = 0 + -26 Combine like terms: 0 + -26 = -26 -4i = -26 Divide each side by '-4'. i = 6.5 Simplifying i = 6.5
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