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Simplifying (-4 + -3i) + -1(2 + -9i) = 0 Remove parenthesis around (-4 + -3i) -4 + -3i + -1(2 + -9i) = 0 -4 + -3i + (2 * -1 + -9i * -1) = 0 -4 + -3i + (-2 + 9i) = 0 Reorder the terms: -4 + -2 + -3i + 9i = 0 Combine like terms: -4 + -2 = -6 -6 + -3i + 9i = 0 Combine like terms: -3i + 9i = 6i -6 + 6i = 0 Solving -6 + 6i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 6i = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 6i = 0 + 6 6i = 0 + 6 Combine like terms: 0 + 6 = 6 6i = 6 Divide each side by '6'. i = 1 Simplifying i = 1
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