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Simplifying (8 + -7i) + (17 + 12i) = 0 Remove parenthesis around (8 + -7i) 8 + -7i + (17 + 12i) = 0 Remove parenthesis around (17 + 12i) 8 + -7i + 17 + 12i = 0 Reorder the terms: 8 + 17 + -7i + 12i = 0 Combine like terms: 8 + 17 = 25 25 + -7i + 12i = 0 Combine like terms: -7i + 12i = 5i 25 + 5i = 0 Solving 25 + 5i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 5i = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 5i = 0 + -25 5i = 0 + -25 Combine like terms: 0 + -25 = -25 5i = -25 Divide each side by '5'. i = -5 Simplifying i = -5
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