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Simplifying (-5 + 3i) + -1(4 + -6i) = 0 Remove parenthesis around (-5 + 3i) -5 + 3i + -1(4 + -6i) = 0 -5 + 3i + (4 * -1 + -6i * -1) = 0 -5 + 3i + (-4 + 6i) = 0 Reorder the terms: -5 + -4 + 3i + 6i = 0 Combine like terms: -5 + -4 = -9 -9 + 3i + 6i = 0 Combine like terms: 3i + 6i = 9i -9 + 9i = 0 Solving -9 + 9i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 9i = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 9i = 0 + 9 9i = 0 + 9 Combine like terms: 0 + 9 = 9 9i = 9 Divide each side by '9'. i = 1 Simplifying i = 1
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