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Simplifying (-6 + 3i) + -1(7 + -3i) = 0 Remove parenthesis around (-6 + 3i) -6 + 3i + -1(7 + -3i) = 0 -6 + 3i + (7 * -1 + -3i * -1) = 0 -6 + 3i + (-7 + 3i) = 0 Reorder the terms: -6 + -7 + 3i + 3i = 0 Combine like terms: -6 + -7 = -13 -13 + 3i + 3i = 0 Combine like terms: 3i + 3i = 6i -13 + 6i = 0 Solving -13 + 6i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 6i = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 6i = 0 + 13 6i = 0 + 13 Combine like terms: 0 + 13 = 13 6i = 13 Divide each side by '6'. i = 2.166666667 Simplifying i = 2.166666667
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