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Simplifying (-8 + 9i) + -1(3 + i) = 0 Remove parenthesis around (-8 + 9i) -8 + 9i + -1(3 + i) = 0 -8 + 9i + (3 * -1 + i * -1) = 0 -8 + 9i + (-3 + -1i) = 0 Reorder the terms: -8 + -3 + 9i + -1i = 0 Combine like terms: -8 + -3 = -11 -11 + 9i + -1i = 0 Combine like terms: 9i + -1i = 8i -11 + 8i = 0 Solving -11 + 8i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 8i = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 8i = 0 + 11 8i = 0 + 11 Combine like terms: 0 + 11 = 11 8i = 11 Divide each side by '8'. i = 1.375 Simplifying i = 1.375
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