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Simplifying 7(3n + 5) = 6(9n + 3) + 9 Reorder the terms: 7(5 + 3n) = 6(9n + 3) + 9 (5 * 7 + 3n * 7) = 6(9n + 3) + 9 (35 + 21n) = 6(9n + 3) + 9 Reorder the terms: 35 + 21n = 6(3 + 9n) + 9 35 + 21n = (3 * 6 + 9n * 6) + 9 35 + 21n = (18 + 54n) + 9 Reorder the terms: 35 + 21n = 18 + 9 + 54n Combine like terms: 18 + 9 = 27 35 + 21n = 27 + 54n Solving 35 + 21n = 27 + 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. 35 + 21n + -54n = 27 + 54n + -54n Combine like terms: 21n + -54n = -33n 35 + -33n = 27 + 54n + -54n Combine like terms: 54n + -54n = 0 35 + -33n = 27 + 0 35 + -33n = 27 Add '-35' to each side of the equation. 35 + -35 + -33n = 27 + -35 Combine like terms: 35 + -35 = 0 0 + -33n = 27 + -35 -33n = 27 + -35 Combine like terms: 27 + -35 = -8 -33n = -8 Divide each side by '-33'. n = 0.2424242424 Simplifying n = 0.2424242424
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