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Simplifying (6 + i) + (7 + -3i) = 0 Remove parenthesis around (6 + i) 6 + i + (7 + -3i) = 0 Remove parenthesis around (7 + -3i) 6 + i + 7 + -3i = 0 Reorder the terms: 6 + 7 + i + -3i = 0 Combine like terms: 6 + 7 = 13 13 + i + -3i = 0 Combine like terms: i + -3i = -2i 13 + -2i = 0 Solving 13 + -2i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -2i = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -2i = 0 + -13 -2i = 0 + -13 Combine like terms: 0 + -13 = -13 -2i = -13 Divide each side by '-2'. i = 6.5 Simplifying i = 6.5
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