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Simplifying i + 6 + i + 4(i + 6) = 126 Reorder the terms: i + 6 + i + 4(6 + i) = 126 i + 6 + i + (6 * 4 + i * 4) = 126 i + 6 + i + (24 + 4i) = 126 Reorder the terms: 6 + 24 + i + i + 4i = 126 Combine like terms: 6 + 24 = 30 30 + i + i + 4i = 126 Combine like terms: i + i = 2i 30 + 2i + 4i = 126 Combine like terms: 2i + 4i = 6i 30 + 6i = 126 Solving 30 + 6i = 126 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 6i = 126 + -30 Combine like terms: 30 + -30 = 0 0 + 6i = 126 + -30 6i = 126 + -30 Combine like terms: 126 + -30 = 96 6i = 96 Divide each side by '6'. i = 16 Simplifying i = 16
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