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Simplifying 2(1 + -7n) + 3(7 + 4n) = 31 (1 * 2 + -7n * 2) + 3(7 + 4n) = 31 (2 + -14n) + 3(7 + 4n) = 31 2 + -14n + (7 * 3 + 4n * 3) = 31 2 + -14n + (21 + 12n) = 31 Reorder the terms: 2 + 21 + -14n + 12n = 31 Combine like terms: 2 + 21 = 23 23 + -14n + 12n = 31 Combine like terms: -14n + 12n = -2n 23 + -2n = 31 Solving 23 + -2n = 31 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + -2n = 31 + -23 Combine like terms: 23 + -23 = 0 0 + -2n = 31 + -23 -2n = 31 + -23 Combine like terms: 31 + -23 = 8 -2n = 8 Divide each side by '-2'. n = -4 Simplifying n = -4
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