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Simplifying 5n + -2 + n + 8 = 2n + 11 Reorder the terms: -2 + 8 + 5n + n = 2n + 11 Combine like terms: -2 + 8 = 6 6 + 5n + n = 2n + 11 Combine like terms: 5n + n = 6n 6 + 6n = 2n + 11 Reorder the terms: 6 + 6n = 11 + 2n Solving 6 + 6n = 11 + 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. 6 + 6n + -2n = 11 + 2n + -2n Combine like terms: 6n + -2n = 4n 6 + 4n = 11 + 2n + -2n Combine like terms: 2n + -2n = 0 6 + 4n = 11 + 0 6 + 4n = 11 Add '-6' to each side of the equation. 6 + -6 + 4n = 11 + -6 Combine like terms: 6 + -6 = 0 0 + 4n = 11 + -6 4n = 11 + -6 Combine like terms: 11 + -6 = 5 4n = 5 Divide each side by '4'. n = 1.25 Simplifying n = 1.25
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