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Simplifying 7(2n + 4) = 7(7n + 4) + 5 Reorder the terms: 7(4 + 2n) = 7(7n + 4) + 5 (4 * 7 + 2n * 7) = 7(7n + 4) + 5 (28 + 14n) = 7(7n + 4) + 5 Reorder the terms: 28 + 14n = 7(4 + 7n) + 5 28 + 14n = (4 * 7 + 7n * 7) + 5 28 + 14n = (28 + 49n) + 5 Reorder the terms: 28 + 14n = 28 + 5 + 49n Combine like terms: 28 + 5 = 33 28 + 14n = 33 + 49n Solving 28 + 14n = 33 + 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 + 14n + -49n = 33 + 49n + -49n Combine like terms: 14n + -49n = -35n 28 + -35n = 33 + 49n + -49n Combine like terms: 49n + -49n = 0 28 + -35n = 33 + 0 28 + -35n = 33 Add '-28' to each side of the equation. 28 + -28 + -35n = 33 + -28 Combine like terms: 28 + -28 = 0 0 + -35n = 33 + -28 -35n = 33 + -28 Combine like terms: 33 + -28 = 5 -35n = 5 Divide each side by '-35'. n = -0.1428571429 Simplifying n = -0.1428571429
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