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Simplifying (-4 + 2i) + (6 + -3i) = 0 Remove parenthesis around (-4 + 2i) -4 + 2i + (6 + -3i) = 0 Remove parenthesis around (6 + -3i) -4 + 2i + 6 + -3i = 0 Reorder the terms: -4 + 6 + 2i + -3i = 0 Combine like terms: -4 + 6 = 2 2 + 2i + -3i = 0 Combine like terms: 2i + -3i = -1i 2 + -1i = 0 Solving 2 + -1i = 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 + -1i = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1i = 0 + -2 -1i = 0 + -2 Combine like terms: 0 + -2 = -2 -1i = -2 Divide each side by '-1'. i = 2 Simplifying i = 2
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