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Simplifying (-3 + -6i) + (7 + 2i) = 0 Remove parenthesis around (-3 + -6i) -3 + -6i + (7 + 2i) = 0 Remove parenthesis around (7 + 2i) -3 + -6i + 7 + 2i = 0 Reorder the terms: -3 + 7 + -6i + 2i = 0 Combine like terms: -3 + 7 = 4 4 + -6i + 2i = 0 Combine like terms: -6i + 2i = -4i 4 + -4i = 0 Solving 4 + -4i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -4i = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -4i = 0 + -4 -4i = 0 + -4 Combine like terms: 0 + -4 = -4 -4i = -4 Divide each side by '-4'. i = 1 Simplifying i = 1
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