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Simplifying (-2 + 4i) + -1(3 + 9i) = 0 Remove parenthesis around (-2 + 4i) -2 + 4i + -1(3 + 9i) = 0 -2 + 4i + (3 * -1 + 9i * -1) = 0 -2 + 4i + (-3 + -9i) = 0 Reorder the terms: -2 + -3 + 4i + -9i = 0 Combine like terms: -2 + -3 = -5 -5 + 4i + -9i = 0 Combine like terms: 4i + -9i = -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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