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Simplifying 7(3n + 4) = 9(6n + 1) + 6 Reorder the terms: 7(4 + 3n) = 9(6n + 1) + 6 (4 * 7 + 3n * 7) = 9(6n + 1) + 6 (28 + 21n) = 9(6n + 1) + 6 Reorder the terms: 28 + 21n = 9(1 + 6n) + 6 28 + 21n = (1 * 9 + 6n * 9) + 6 28 + 21n = (9 + 54n) + 6 Reorder the terms: 28 + 21n = 9 + 6 + 54n Combine like terms: 9 + 6 = 15 28 + 21n = 15 + 54n Solving 28 + 21n = 15 + 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 + 21n + -54n = 15 + 54n + -54n Combine like terms: 21n + -54n = -33n 28 + -33n = 15 + 54n + -54n Combine like terms: 54n + -54n = 0 28 + -33n = 15 + 0 28 + -33n = 15 Add '-28' to each side of the equation. 28 + -28 + -33n = 15 + -28 Combine like terms: 28 + -28 = 0 0 + -33n = 15 + -28 -33n = 15 + -28 Combine like terms: 15 + -28 = -13 -33n = -13 Divide each side by '-33'. n = 0.3939393939 Simplifying n = 0.3939393939
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