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Simplifying 4(i + 1) + 3 = 31 Reorder the terms: 4(1 + i) + 3 = 31 (1 * 4 + i * 4) + 3 = 31 (4 + 4i) + 3 = 31 Reorder the terms: 4 + 3 + 4i = 31 Combine like terms: 4 + 3 = 7 7 + 4i = 31 Solving 7 + 4i = 31 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 + 4i = 31 + -7 Combine like terms: 7 + -7 = 0 0 + 4i = 31 + -7 4i = 31 + -7 Combine like terms: 31 + -7 = 24 4i = 24 Divide each side by '4'. i = 6 Simplifying i = 6
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