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Simplifying 4 + 7(n + 6) = 81 Reorder the terms: 4 + 7(6 + n) = 81 4 + (6 * 7 + n * 7) = 81 4 + (42 + 7n) = 81 Combine like terms: 4 + 42 = 46 46 + 7n = 81 Solving 46 + 7n = 81 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-46' to each side of the equation. 46 + -46 + 7n = 81 + -46 Combine like terms: 46 + -46 = 0 0 + 7n = 81 + -46 7n = 81 + -46 Combine like terms: 81 + -46 = 35 7n = 35 Divide each side by '7'. n = 5 Simplifying n = 5
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