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Simplifying 7(i + 5) = 49 Reorder the terms: 7(5 + i) = 49 (5 * 7 + i * 7) = 49 (35 + 7i) = 49 Solving 35 + 7i = 49 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 + 7i = 49 + -35 Combine like terms: 35 + -35 = 0 0 + 7i = 49 + -35 7i = 49 + -35 Combine like terms: 49 + -35 = 14 7i = 14 Divide each side by '7'. i = 2 Simplifying i = 2
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