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Simplifying -5n + 8(7 + 2n) = 20 + 5n -5n + (7 * 8 + 2n * 8) = 20 + 5n -5n + (56 + 16n) = 20 + 5n Reorder the terms: 56 + -5n + 16n = 20 + 5n Combine like terms: -5n + 16n = 11n 56 + 11n = 20 + 5n Solving 56 + 11n = 20 + 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. 56 + 11n + -5n = 20 + 5n + -5n Combine like terms: 11n + -5n = 6n 56 + 6n = 20 + 5n + -5n Combine like terms: 5n + -5n = 0 56 + 6n = 20 + 0 56 + 6n = 20 Add '-56' to each side of the equation. 56 + -56 + 6n = 20 + -56 Combine like terms: 56 + -56 = 0 0 + 6n = 20 + -56 6n = 20 + -56 Combine like terms: 20 + -56 = -36 6n = -36 Divide each side by '6'. n = -6 Simplifying n = -6
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