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Simplifying -5 + 10(i + 4) = -15 Reorder the terms: -5 + 10(4 + i) = -15 -5 + (4 * 10 + i * 10) = -15 -5 + (40 + 10i) = -15 Combine like terms: -5 + 40 = 35 35 + 10i = -15 Solving 35 + 10i = -15 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + 10i = -15 + -35 Combine like terms: 35 + -35 = 0 0 + 10i = -15 + -35 10i = -15 + -35 Combine like terms: -15 + -35 = -50 10i = -50 Divide each side by '10'. i = -5 Simplifying i = -5
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