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Simplifying 7(3n + 4) = 7(7n + 2) + 6 Reorder the terms: 7(4 + 3n) = 7(7n + 2) + 6 (4 * 7 + 3n * 7) = 7(7n + 2) + 6 (28 + 21n) = 7(7n + 2) + 6 Reorder the terms: 28 + 21n = 7(2 + 7n) + 6 28 + 21n = (2 * 7 + 7n * 7) + 6 28 + 21n = (14 + 49n) + 6 Reorder the terms: 28 + 21n = 14 + 6 + 49n Combine like terms: 14 + 6 = 20 28 + 21n = 20 + 49n Solving 28 + 21n = 20 + 49n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-49n' to each side of the equation. 28 + 21n + -49n = 20 + 49n + -49n Combine like terms: 21n + -49n = -28n 28 + -28n = 20 + 49n + -49n Combine like terms: 49n + -49n = 0 28 + -28n = 20 + 0 28 + -28n = 20 Add '-28' to each side of the equation. 28 + -28 + -28n = 20 + -28 Combine like terms: 28 + -28 = 0 0 + -28n = 20 + -28 -28n = 20 + -28 Combine like terms: 20 + -28 = -8 -28n = -8 Divide each side by '-28'. n = 0.2857142857 Simplifying n = 0.2857142857
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