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Simplifying (5 + -5i) + (5 + 4i) = 0 Remove parenthesis around (5 + -5i) 5 + -5i + (5 + 4i) = 0 Remove parenthesis around (5 + 4i) 5 + -5i + 5 + 4i = 0 Reorder the terms: 5 + 5 + -5i + 4i = 0 Combine like terms: 5 + 5 = 10 10 + -5i + 4i = 0 Combine like terms: -5i + 4i = -1i 10 + -1i = 0 Solving 10 + -1i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1i = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1i = 0 + -10 -1i = 0 + -10 Combine like terms: 0 + -10 = -10 -1i = -10 Divide each side by '-1'. i = 10 Simplifying i = 10
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