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Simplifying 3n + 2(12n + 7) = 5n + -8 Reorder the terms: 3n + 2(7 + 12n) = 5n + -8 3n + (7 * 2 + 12n * 2) = 5n + -8 3n + (14 + 24n) = 5n + -8 Reorder the terms: 14 + 3n + 24n = 5n + -8 Combine like terms: 3n + 24n = 27n 14 + 27n = 5n + -8 Reorder the terms: 14 + 27n = -8 + 5n Solving 14 + 27n = -8 + 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. 14 + 27n + -5n = -8 + 5n + -5n Combine like terms: 27n + -5n = 22n 14 + 22n = -8 + 5n + -5n Combine like terms: 5n + -5n = 0 14 + 22n = -8 + 0 14 + 22n = -8 Add '-14' to each side of the equation. 14 + -14 + 22n = -8 + -14 Combine like terms: 14 + -14 = 0 0 + 22n = -8 + -14 22n = -8 + -14 Combine like terms: -8 + -14 = -22 22n = -22 Divide each side by '22'. n = -1 Simplifying n = -1
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