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Simplifying (2 + 3i) + (5 + -4i) = 0 Remove parenthesis around (2 + 3i) 2 + 3i + (5 + -4i) = 0 Remove parenthesis around (5 + -4i) 2 + 3i + 5 + -4i = 0 Reorder the terms: 2 + 5 + 3i + -4i = 0 Combine like terms: 2 + 5 = 7 7 + 3i + -4i = 0 Combine like terms: 3i + -4i = -1i 7 + -1i = 0 Solving 7 + -1i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1i = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1i = 0 + -7 -1i = 0 + -7 Combine like terms: 0 + -7 = -7 -1i = -7 Divide each side by '-1'. i = 7 Simplifying i = 7
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