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Simplifying 4 + 3(i + 1) = 41 + 6 Reorder the terms: 4 + 3(1 + i) = 41 + 6 4 + (1 * 3 + i * 3) = 41 + 6 4 + (3 + 3i) = 41 + 6 Combine like terms: 4 + 3 = 7 7 + 3i = 41 + 6 Combine like terms: 41 + 6 = 47 7 + 3i = 47 Solving 7 + 3i = 47 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 3i = 47 + -7 Combine like terms: 7 + -7 = 0 0 + 3i = 47 + -7 3i = 47 + -7 Combine like terms: 47 + -7 = 40 3i = 40 Divide each side by '3'. i = 13.33333333 Simplifying i = 13.33333333
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