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Simplifying n + 8 = -5n + 18 Reorder the terms: 8 + n = -5n + 18 Reorder the terms: 8 + n = 18 + -5n Solving 8 + n = 18 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. 8 + n + 5n = 18 + -5n + 5n Combine like terms: n + 5n = 6n 8 + 6n = 18 + -5n + 5n Combine like terms: -5n + 5n = 0 8 + 6n = 18 + 0 8 + 6n = 18 Add '-8' to each side of the equation. 8 + -8 + 6n = 18 + -8 Combine like terms: 8 + -8 = 0 0 + 6n = 18 + -8 6n = 18 + -8 Combine like terms: 18 + -8 = 10 6n = 10 Divide each side by '6'. n = 1.666666667 Simplifying n = 1.666666667
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