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Simplifying 4n + 1 = -2n + 8 Reorder the terms: 1 + 4n = -2n + 8 Reorder the terms: 1 + 4n = 8 + -2n Solving 1 + 4n = 8 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. 1 + 4n + 2n = 8 + -2n + 2n Combine like terms: 4n + 2n = 6n 1 + 6n = 8 + -2n + 2n Combine like terms: -2n + 2n = 0 1 + 6n = 8 + 0 1 + 6n = 8 Add '-1' to each side of the equation. 1 + -1 + 6n = 8 + -1 Combine like terms: 1 + -1 = 0 0 + 6n = 8 + -1 6n = 8 + -1 Combine like terms: 8 + -1 = 7 6n = 7 Divide each side by '6'. n = 1.166666667 Simplifying n = 1.166666667
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