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Simplifying 2(2n + 4) = 7(7n + 1) + 7 Reorder the terms: 2(4 + 2n) = 7(7n + 1) + 7 (4 * 2 + 2n * 2) = 7(7n + 1) + 7 (8 + 4n) = 7(7n + 1) + 7 Reorder the terms: 8 + 4n = 7(1 + 7n) + 7 8 + 4n = (1 * 7 + 7n * 7) + 7 8 + 4n = (7 + 49n) + 7 Reorder the terms: 8 + 4n = 7 + 7 + 49n Combine like terms: 7 + 7 = 14 8 + 4n = 14 + 49n Solving 8 + 4n = 14 + 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. 8 + 4n + -49n = 14 + 49n + -49n Combine like terms: 4n + -49n = -45n 8 + -45n = 14 + 49n + -49n Combine like terms: 49n + -49n = 0 8 + -45n = 14 + 0 8 + -45n = 14 Add '-8' to each side of the equation. 8 + -8 + -45n = 14 + -8 Combine like terms: 8 + -8 = 0 0 + -45n = 14 + -8 -45n = 14 + -8 Combine like terms: 14 + -8 = 6 -45n = 6 Divide each side by '-45'. n = -0.1333333333 Simplifying n = -0.1333333333
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