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Simplifying 7(2n + 4) = 9(6n + 5) + 8 Reorder the terms: 7(4 + 2n) = 9(6n + 5) + 8 (4 * 7 + 2n * 7) = 9(6n + 5) + 8 (28 + 14n) = 9(6n + 5) + 8 Reorder the terms: 28 + 14n = 9(5 + 6n) + 8 28 + 14n = (5 * 9 + 6n * 9) + 8 28 + 14n = (45 + 54n) + 8 Reorder the terms: 28 + 14n = 45 + 8 + 54n Combine like terms: 45 + 8 = 53 28 + 14n = 53 + 54n Solving 28 + 14n = 53 + 54n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-54n' to each side of the equation. 28 + 14n + -54n = 53 + 54n + -54n Combine like terms: 14n + -54n = -40n 28 + -40n = 53 + 54n + -54n Combine like terms: 54n + -54n = 0 28 + -40n = 53 + 0 28 + -40n = 53 Add '-28' to each side of the equation. 28 + -28 + -40n = 53 + -28 Combine like terms: 28 + -28 = 0 0 + -40n = 53 + -28 -40n = 53 + -28 Combine like terms: 53 + -28 = 25 -40n = 25 Divide each side by '-40'. n = -0.625 Simplifying n = -0.625
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