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Simplifying 3n + 46 = 1 + 8x Reorder the terms: 46 + 3n = 1 + 8x Solving 46 + 3n = 1 + 8x 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 + 3n = 1 + -46 + 8x Combine like terms: 46 + -46 = 0 0 + 3n = 1 + -46 + 8x 3n = 1 + -46 + 8x Combine like terms: 1 + -46 = -45 3n = -45 + 8x Divide each side by '3'. n = -15 + 2.666666667x Simplifying n = -15 + 2.666666667x
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