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Simplifying 7(3n + 2) = 8(9n + 2) + 9 Reorder the terms: 7(2 + 3n) = 8(9n + 2) + 9 (2 * 7 + 3n * 7) = 8(9n + 2) + 9 (14 + 21n) = 8(9n + 2) + 9 Reorder the terms: 14 + 21n = 8(2 + 9n) + 9 14 + 21n = (2 * 8 + 9n * 8) + 9 14 + 21n = (16 + 72n) + 9 Reorder the terms: 14 + 21n = 16 + 9 + 72n Combine like terms: 16 + 9 = 25 14 + 21n = 25 + 72n Solving 14 + 21n = 25 + 72n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-72n' to each side of the equation. 14 + 21n + -72n = 25 + 72n + -72n Combine like terms: 21n + -72n = -51n 14 + -51n = 25 + 72n + -72n Combine like terms: 72n + -72n = 0 14 + -51n = 25 + 0 14 + -51n = 25 Add '-14' to each side of the equation. 14 + -14 + -51n = 25 + -14 Combine like terms: 14 + -14 = 0 0 + -51n = 25 + -14 -51n = 25 + -14 Combine like terms: 25 + -14 = 11 -51n = 11 Divide each side by '-51'. n = -0.2156862745 Simplifying n = -0.2156862745
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