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Simplifying 4i + -1(3 + 9i) = 0 4i + (3 * -1 + 9i * -1) = 0 4i + (-3 + -9i) = 0 Reorder the terms: -3 + 4i + -9i = 0 Combine like terms: 4i + -9i = -5i -3 + -5i = 0 Solving -3 + -5i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -5i = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -5i = 0 + 3 -5i = 0 + 3 Combine like terms: 0 + 3 = 3 -5i = 3 Divide each side by '-5'. i = -0.6 Simplifying i = -0.6
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