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Simplifying 7(3n + 2) = 6(7n + 2) + 9 Reorder the terms: 7(2 + 3n) = 6(7n + 2) + 9 (2 * 7 + 3n * 7) = 6(7n + 2) + 9 (14 + 21n) = 6(7n + 2) + 9 Reorder the terms: 14 + 21n = 6(2 + 7n) + 9 14 + 21n = (2 * 6 + 7n * 6) + 9 14 + 21n = (12 + 42n) + 9 Reorder the terms: 14 + 21n = 12 + 9 + 42n Combine like terms: 12 + 9 = 21 14 + 21n = 21 + 42n Solving 14 + 21n = 21 + 42n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-42n' to each side of the equation. 14 + 21n + -42n = 21 + 42n + -42n Combine like terms: 21n + -42n = -21n 14 + -21n = 21 + 42n + -42n Combine like terms: 42n + -42n = 0 14 + -21n = 21 + 0 14 + -21n = 21 Add '-14' to each side of the equation. 14 + -14 + -21n = 21 + -14 Combine like terms: 14 + -14 = 0 0 + -21n = 21 + -14 -21n = 21 + -14 Combine like terms: 21 + -14 = 7 -21n = 7 Divide each side by '-21'. n = -0.3333333333 Simplifying n = -0.3333333333
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