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Simplifying (34 + 13i) + -1(-2 + -17i) + (16 + 25i) = 0 Remove parenthesis around (34 + 13i) 34 + 13i + -1(-2 + -17i) + (16 + 25i) = 0 34 + 13i + (-2 * -1 + -17i * -1) + (16 + 25i) = 0 34 + 13i + (2 + 17i) + (16 + 25i) = 0 Remove parenthesis around (16 + 25i) 34 + 13i + 2 + 17i + 16 + 25i = 0 Reorder the terms: 34 + 2 + 16 + 13i + 17i + 25i = 0 Combine like terms: 34 + 2 = 36 36 + 16 + 13i + 17i + 25i = 0 Combine like terms: 36 + 16 = 52 52 + 13i + 17i + 25i = 0 Combine like terms: 13i + 17i = 30i 52 + 30i + 25i = 0 Combine like terms: 30i + 25i = 55i 52 + 55i = 0 Solving 52 + 55i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-52' to each side of the equation. 52 + -52 + 55i = 0 + -52 Combine like terms: 52 + -52 = 0 0 + 55i = 0 + -52 55i = 0 + -52 Combine like terms: 0 + -52 = -52 55i = -52 Divide each side by '55'. i = -0.9454545455 Simplifying i = -0.9454545455
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