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Simplifying (2 + 3i) + (5 + -2i) = 8 Remove parenthesis around (2 + 3i) 2 + 3i + (5 + -2i) = 8 Remove parenthesis around (5 + -2i) 2 + 3i + 5 + -2i = 8 Reorder the terms: 2 + 5 + 3i + -2i = 8 Combine like terms: 2 + 5 = 7 7 + 3i + -2i = 8 Combine like terms: 3i + -2i = 1i 7 + 1i = 8 Solving 7 + 1i = 8 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 = 8 + -7 Combine like terms: 7 + -7 = 0 0 + 1i = 8 + -7 1i = 8 + -7 Combine like terms: 8 + -7 = 1 1i = 1 Divide each side by '1'. i = 1 Simplifying i = 1
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