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Simplifying 3(n + 1) + 11 = 9 + -2n Reorder the terms: 3(1 + n) + 11 = 9 + -2n (1 * 3 + n * 3) + 11 = 9 + -2n (3 + 3n) + 11 = 9 + -2n Reorder the terms: 3 + 11 + 3n = 9 + -2n Combine like terms: 3 + 11 = 14 14 + 3n = 9 + -2n Solving 14 + 3n = 9 + -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. 14 + 3n + 2n = 9 + -2n + 2n Combine like terms: 3n + 2n = 5n 14 + 5n = 9 + -2n + 2n Combine like terms: -2n + 2n = 0 14 + 5n = 9 + 0 14 + 5n = 9 Add '-14' to each side of the equation. 14 + -14 + 5n = 9 + -14 Combine like terms: 14 + -14 = 0 0 + 5n = 9 + -14 5n = 9 + -14 Combine like terms: 9 + -14 = -5 5n = -5 Divide each side by '5'. n = -1 Simplifying n = -1
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