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Simplifying 9 + -1(2i + -4) = -11 Reorder the terms: 9 + -1(-4 + 2i) = -11 9 + (-4 * -1 + 2i * -1) = -11 9 + (4 + -2i) = -11 Combine like terms: 9 + 4 = 13 13 + -2i = -11 Solving 13 + -2i = -11 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -2i = -11 + -13 Combine like terms: 13 + -13 = 0 0 + -2i = -11 + -13 -2i = -11 + -13 Combine like terms: -11 + -13 = -24 -2i = -24 Divide each side by '-2'. i = 12 Simplifying i = 12
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