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Simplifying (6i + 5) + -1(-10i + -5) = 0 Reorder the terms: (5 + 6i) + -1(-10i + -5) = 0 Remove parenthesis around (5 + 6i) 5 + 6i + -1(-10i + -5) = 0 Reorder the terms: 5 + 6i + -1(-5 + -10i) = 0 5 + 6i + (-5 * -1 + -10i * -1) = 0 5 + 6i + (5 + 10i) = 0 Reorder the terms: 5 + 5 + 6i + 10i = 0 Combine like terms: 5 + 5 = 10 10 + 6i + 10i = 0 Combine like terms: 6i + 10i = 16i 10 + 16i = 0 Solving 10 + 16i = 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 + 16i = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 16i = 0 + -10 16i = 0 + -10 Combine like terms: 0 + -10 = -10 16i = -10 Divide each side by '16'. i = -0.625 Simplifying i = -0.625
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