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Simplifying 7(2n + 3) = 7(7n + 5) + 5 Reorder the terms: 7(3 + 2n) = 7(7n + 5) + 5 (3 * 7 + 2n * 7) = 7(7n + 5) + 5 (21 + 14n) = 7(7n + 5) + 5 Reorder the terms: 21 + 14n = 7(5 + 7n) + 5 21 + 14n = (5 * 7 + 7n * 7) + 5 21 + 14n = (35 + 49n) + 5 Reorder the terms: 21 + 14n = 35 + 5 + 49n Combine like terms: 35 + 5 = 40 21 + 14n = 40 + 49n Solving 21 + 14n = 40 + 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. 21 + 14n + -49n = 40 + 49n + -49n Combine like terms: 14n + -49n = -35n 21 + -35n = 40 + 49n + -49n Combine like terms: 49n + -49n = 0 21 + -35n = 40 + 0 21 + -35n = 40 Add '-21' to each side of the equation. 21 + -21 + -35n = 40 + -21 Combine like terms: 21 + -21 = 0 0 + -35n = 40 + -21 -35n = 40 + -21 Combine like terms: 40 + -21 = 19 -35n = 19 Divide each side by '-35'. n = -0.5428571429 Simplifying n = -0.5428571429
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