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Simplifying (8 + 9i) + -1(3 + 4i) = 0 Remove parenthesis around (8 + 9i) 8 + 9i + -1(3 + 4i) = 0 8 + 9i + (3 * -1 + 4i * -1) = 0 8 + 9i + (-3 + -4i) = 0 Reorder the terms: 8 + -3 + 9i + -4i = 0 Combine like terms: 8 + -3 = 5 5 + 9i + -4i = 0 Combine like terms: 9i + -4i = 5i 5 + 5i = 0 Solving 5 + 5i = 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 + 5i = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 5i = 0 + -5 5i = 0 + -5 Combine like terms: 0 + -5 = -5 5i = -5 Divide each side by '5'. i = -1 Simplifying i = -1
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