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Simplifying (6 + -6i) + (2 + 5i) = 0 Remove parenthesis around (6 + -6i) 6 + -6i + (2 + 5i) = 0 Remove parenthesis around (2 + 5i) 6 + -6i + 2 + 5i = 0 Reorder the terms: 6 + 2 + -6i + 5i = 0 Combine like terms: 6 + 2 = 8 8 + -6i + 5i = 0 Combine like terms: -6i + 5i = -1i 8 + -1i = 0 Solving 8 + -1i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1i = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1i = 0 + -8 -1i = 0 + -8 Combine like terms: 0 + -8 = -8 -1i = -8 Divide each side by '-1'. i = 8 Simplifying i = 8
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