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Simplifying 3n + 46 = 9n + -8 Reorder the terms: 46 + 3n = 9n + -8 Reorder the terms: 46 + 3n = -8 + 9n Solving 46 + 3n = -8 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. 46 + 3n + -9n = -8 + 9n + -9n Combine like terms: 3n + -9n = -6n 46 + -6n = -8 + 9n + -9n Combine like terms: 9n + -9n = 0 46 + -6n = -8 + 0 46 + -6n = -8 Add '-46' to each side of the equation. 46 + -46 + -6n = -8 + -46 Combine like terms: 46 + -46 = 0 0 + -6n = -8 + -46 -6n = -8 + -46 Combine like terms: -8 + -46 = -54 -6n = -54 Divide each side by '-6'. n = 9 Simplifying n = 9
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