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Simplifying 7(3n + 2) = 9(6n + 3) + 8 Reorder the terms: 7(2 + 3n) = 9(6n + 3) + 8 (2 * 7 + 3n * 7) = 9(6n + 3) + 8 (14 + 21n) = 9(6n + 3) + 8 Reorder the terms: 14 + 21n = 9(3 + 6n) + 8 14 + 21n = (3 * 9 + 6n * 9) + 8 14 + 21n = (27 + 54n) + 8 Reorder the terms: 14 + 21n = 27 + 8 + 54n Combine like terms: 27 + 8 = 35 14 + 21n = 35 + 54n Solving 14 + 21n = 35 + 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. 14 + 21n + -54n = 35 + 54n + -54n Combine like terms: 21n + -54n = -33n 14 + -33n = 35 + 54n + -54n Combine like terms: 54n + -54n = 0 14 + -33n = 35 + 0 14 + -33n = 35 Add '-14' to each side of the equation. 14 + -14 + -33n = 35 + -14 Combine like terms: 14 + -14 = 0 0 + -33n = 35 + -14 -33n = 35 + -14 Combine like terms: 35 + -14 = 21 -33n = 21 Divide each side by '-33'. n = -0.6363636364 Simplifying n = -0.6363636364
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