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Simplifying -5n + 7(7 + 2n) = 2n + 28 -5n + (7 * 7 + 2n * 7) = 2n + 28 -5n + (49 + 14n) = 2n + 28 Reorder the terms: 49 + -5n + 14n = 2n + 28 Combine like terms: -5n + 14n = 9n 49 + 9n = 2n + 28 Reorder the terms: 49 + 9n = 28 + 2n Solving 49 + 9n = 28 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 49 + 9n + -2n = 28 + 2n + -2n Combine like terms: 9n + -2n = 7n 49 + 7n = 28 + 2n + -2n Combine like terms: 2n + -2n = 0 49 + 7n = 28 + 0 49 + 7n = 28 Add '-49' to each side of the equation. 49 + -49 + 7n = 28 + -49 Combine like terms: 49 + -49 = 0 0 + 7n = 28 + -49 7n = 28 + -49 Combine like terms: 28 + -49 = -21 7n = -21 Divide each side by '7'. n = -3 Simplifying n = -3
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