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Simplifying 8(4n + 7) = 27 + 3n Reorder the terms: 8(7 + 4n) = 27 + 3n (7 * 8 + 4n * 8) = 27 + 3n (56 + 32n) = 27 + 3n Solving 56 + 32n = 27 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 56 + 32n + -3n = 27 + 3n + -3n Combine like terms: 32n + -3n = 29n 56 + 29n = 27 + 3n + -3n Combine like terms: 3n + -3n = 0 56 + 29n = 27 + 0 56 + 29n = 27 Add '-56' to each side of the equation. 56 + -56 + 29n = 27 + -56 Combine like terms: 56 + -56 = 0 0 + 29n = 27 + -56 29n = 27 + -56 Combine like terms: 27 + -56 = -29 29n = -29 Divide each side by '29'. n = -1 Simplifying n = -1
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