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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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