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Simplifying (7 + 2i) + (6 + -3i) = 0 Remove parenthesis around (7 + 2i) 7 + 2i + (6 + -3i) = 0 Remove parenthesis around (6 + -3i) 7 + 2i + 6 + -3i = 0 Reorder the terms: 7 + 6 + 2i + -3i = 0 Combine like terms: 7 + 6 = 13 13 + 2i + -3i = 0 Combine like terms: 2i + -3i = -1i 13 + -1i = 0 Solving 13 + -1i = 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 + -1i = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1i = 0 + -13 -1i = 0 + -13 Combine like terms: 0 + -13 = -13 -1i = -13 Divide each side by '-1'. i = 13 Simplifying i = 13
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