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Simplifying 2(n + 8) + -3 = 5n + 31 Reorder the terms: 2(8 + n) + -3 = 5n + 31 (8 * 2 + n * 2) + -3 = 5n + 31 (16 + 2n) + -3 = 5n + 31 Reorder the terms: 16 + -3 + 2n = 5n + 31 Combine like terms: 16 + -3 = 13 13 + 2n = 5n + 31 Reorder the terms: 13 + 2n = 31 + 5n Solving 13 + 2n = 31 + 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. 13 + 2n + -5n = 31 + 5n + -5n Combine like terms: 2n + -5n = -3n 13 + -3n = 31 + 5n + -5n Combine like terms: 5n + -5n = 0 13 + -3n = 31 + 0 13 + -3n = 31 Add '-13' to each side of the equation. 13 + -13 + -3n = 31 + -13 Combine like terms: 13 + -13 = 0 0 + -3n = 31 + -13 -3n = 31 + -13 Combine like terms: 31 + -13 = 18 -3n = 18 Divide each side by '-3'. n = -6 Simplifying n = -6
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