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Simplifying 46 + 9n = 3(8 + n) + 4 46 + 9n = (8 * 3 + n * 3) + 4 46 + 9n = (24 + 3n) + 4 Reorder the terms: 46 + 9n = 24 + 4 + 3n Combine like terms: 24 + 4 = 28 46 + 9n = 28 + 3n Solving 46 + 9n = 28 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 46 + 9n + -3n = 28 + 3n + -3n Combine like terms: 9n + -3n = 6n 46 + 6n = 28 + 3n + -3n Combine like terms: 3n + -3n = 0 46 + 6n = 28 + 0 46 + 6n = 28 Add '-46' to each side of the equation. 46 + -46 + 6n = 28 + -46 Combine like terms: 46 + -46 = 0 0 + 6n = 28 + -46 6n = 28 + -46 Combine like terms: 28 + -46 = -18 6n = -18 Divide each side by '6'. n = -3 Simplifying n = -3
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