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Simplifying (-2 + 3i) + (7 + -6i) = 0 Remove parenthesis around (-2 + 3i) -2 + 3i + (7 + -6i) = 0 Remove parenthesis around (7 + -6i) -2 + 3i + 7 + -6i = 0 Reorder the terms: -2 + 7 + 3i + -6i = 0 Combine like terms: -2 + 7 = 5 5 + 3i + -6i = 0 Combine like terms: 3i + -6i = -3i 5 + -3i = 0 Solving 5 + -3i = 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 + -3i = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3i = 0 + -5 -3i = 0 + -5 Combine like terms: 0 + -5 = -5 -3i = -5 Divide each side by '-3'. i = 1.666666667 Simplifying i = 1.666666667
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