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Simplifying 0 = (6 + -3i) + (4 + -2i) Remove parenthesis around (6 + -3i) 0 = 6 + -3i + (4 + -2i) Remove parenthesis around (4 + -2i) 0 = 6 + -3i + 4 + -2i Reorder the terms: 0 = 6 + 4 + -3i + -2i Combine like terms: 6 + 4 = 10 0 = 10 + -3i + -2i Combine like terms: -3i + -2i = -5i 0 = 10 + -5i Solving 0 = 10 + -5i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '5i' to each side of the equation. 0 + 5i = 10 + -5i + 5i Remove the zero: 5i = 10 + -5i + 5i Combine like terms: -5i + 5i = 0 5i = 10 + 0 5i = 10 Divide each side by '5'. i = 2 Simplifying i = 2
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