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Simplifying 7(2n + 5) = 7(9n + 5) + 7 Reorder the terms: 7(5 + 2n) = 7(9n + 5) + 7 (5 * 7 + 2n * 7) = 7(9n + 5) + 7 (35 + 14n) = 7(9n + 5) + 7 Reorder the terms: 35 + 14n = 7(5 + 9n) + 7 35 + 14n = (5 * 7 + 9n * 7) + 7 35 + 14n = (35 + 63n) + 7 Reorder the terms: 35 + 14n = 35 + 7 + 63n Combine like terms: 35 + 7 = 42 35 + 14n = 42 + 63n Solving 35 + 14n = 42 + 63n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-63n' to each side of the equation. 35 + 14n + -63n = 42 + 63n + -63n Combine like terms: 14n + -63n = -49n 35 + -49n = 42 + 63n + -63n Combine like terms: 63n + -63n = 0 35 + -49n = 42 + 0 35 + -49n = 42 Add '-35' to each side of the equation. 35 + -35 + -49n = 42 + -35 Combine like terms: 35 + -35 = 0 0 + -49n = 42 + -35 -49n = 42 + -35 Combine like terms: 42 + -35 = 7 -49n = 7 Divide each side by '-49'. n = -0.1428571429 Simplifying n = -0.1428571429
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