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Simplifying (-3 + 2i) + (5 + -6i) = 0 Remove parenthesis around (-3 + 2i) -3 + 2i + (5 + -6i) = 0 Remove parenthesis around (5 + -6i) -3 + 2i + 5 + -6i = 0 Reorder the terms: -3 + 5 + 2i + -6i = 0 Combine like terms: -3 + 5 = 2 2 + 2i + -6i = 0 Combine like terms: 2i + -6i = -4i 2 + -4i = 0 Solving 2 + -4i = 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 + -4i = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -4i = 0 + -2 -4i = 0 + -2 Combine like terms: 0 + -2 = -2 -4i = -2 Divide each side by '-4'. i = 0.5 Simplifying i = 0.5
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