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Simplifying (8 + -7i) + (5 + 6i) = 0 Remove parenthesis around (8 + -7i) 8 + -7i + (5 + 6i) = 0 Remove parenthesis around (5 + 6i) 8 + -7i + 5 + 6i = 0 Reorder the terms: 8 + 5 + -7i + 6i = 0 Combine like terms: 8 + 5 = 13 13 + -7i + 6i = 0 Combine like terms: -7i + 6i = -1i 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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