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Simplifying (-5 + 3i) + -1(-7 + 9i) = 0 Remove parenthesis around (-5 + 3i) -5 + 3i + -1(-7 + 9i) = 0 -5 + 3i + (-7 * -1 + 9i * -1) = 0 -5 + 3i + (7 + -9i) = 0 Reorder the terms: -5 + 7 + 3i + -9i = 0 Combine like terms: -5 + 7 = 2 2 + 3i + -9i = 0 Combine like terms: 3i + -9i = -6i 2 + -6i = 0 Solving 2 + -6i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -6i = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -6i = 0 + -2 -6i = 0 + -2 Combine like terms: 0 + -2 = -2 -6i = -2 Divide each side by '-6'. i = 0.3333333333 Simplifying i = 0.3333333333
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