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Simplifying 2(2n + 4) = 7(7n + 5) + 7 Reorder the terms: 2(4 + 2n) = 7(7n + 5) + 7 (4 * 2 + 2n * 2) = 7(7n + 5) + 7 (8 + 4n) = 7(7n + 5) + 7 Reorder the terms: 8 + 4n = 7(5 + 7n) + 7 8 + 4n = (5 * 7 + 7n * 7) + 7 8 + 4n = (35 + 49n) + 7 Reorder the terms: 8 + 4n = 35 + 7 + 49n Combine like terms: 35 + 7 = 42 8 + 4n = 42 + 49n Solving 8 + 4n = 42 + 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 = 42 + 49n + -49n Combine like terms: 4n + -49n = -45n 8 + -45n = 42 + 49n + -49n Combine like terms: 49n + -49n = 0 8 + -45n = 42 + 0 8 + -45n = 42 Add '-8' to each side of the equation. 8 + -8 + -45n = 42 + -8 Combine like terms: 8 + -8 = 0 0 + -45n = 42 + -8 -45n = 42 + -8 Combine like terms: 42 + -8 = 34 -45n = 34 Divide each side by '-45'. n = -0.7555555556 Simplifying n = -0.7555555556
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