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Simplifying (5 + 8) + (2i + -3i) = 0 Combine like terms: 5 + 8 = 13 (13) + (2i + -3i) = 0 13 + (2i + -3i) = 0 Combine like terms: 2i + -3i = -1i 13 + (-1i) = 0 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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