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Simplifying (n + 5) * 2 = 5n + -14 Reorder the terms: (5 + n) * 2 = 5n + -14 Reorder the terms for easier multiplication: 2(5 + n) = 5n + -14 (5 * 2 + n * 2) = 5n + -14 (10 + 2n) = 5n + -14 Reorder the terms: 10 + 2n = -14 + 5n Solving 10 + 2n = -14 + 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. 10 + 2n + -5n = -14 + 5n + -5n Combine like terms: 2n + -5n = -3n 10 + -3n = -14 + 5n + -5n Combine like terms: 5n + -5n = 0 10 + -3n = -14 + 0 10 + -3n = -14 Add '-10' to each side of the equation. 10 + -10 + -3n = -14 + -10 Combine like terms: 10 + -10 = 0 0 + -3n = -14 + -10 -3n = -14 + -10 Combine like terms: -14 + -10 = -24 -3n = -24 Divide each side by '-3'. n = 8 Simplifying n = 8
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