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Simplifying 3(2n + 11) = 31 + -3n Reorder the terms: 3(11 + 2n) = 31 + -3n (11 * 3 + 2n * 3) = 31 + -3n (33 + 6n) = 31 + -3n Solving 33 + 6n = 31 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. 33 + 6n + 3n = 31 + -3n + 3n Combine like terms: 6n + 3n = 9n 33 + 9n = 31 + -3n + 3n Combine like terms: -3n + 3n = 0 33 + 9n = 31 + 0 33 + 9n = 31 Add '-33' to each side of the equation. 33 + -33 + 9n = 31 + -33 Combine like terms: 33 + -33 = 0 0 + 9n = 31 + -33 9n = 31 + -33 Combine like terms: 31 + -33 = -2 9n = -2 Divide each side by '9'. n = -0.2222222222 Simplifying n = -0.2222222222
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