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Simplifying -5 + 10(i + 5) = -6 Reorder the terms: -5 + 10(5 + i) = -6 -5 + (5 * 10 + i * 10) = -6 -5 + (50 + 10i) = -6 Combine like terms: -5 + 50 = 45 45 + 10i = -6 Solving 45 + 10i = -6 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + 10i = -6 + -45 Combine like terms: 45 + -45 = 0 0 + 10i = -6 + -45 10i = -6 + -45 Combine like terms: -6 + -45 = -51 10i = -51 Divide each side by '10'. i = -5.1 Simplifying i = -5.1
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