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Simplifying 5(n + 4) + 24 = -2n + -8 Reorder the terms: 5(4 + n) + 24 = -2n + -8 (4 * 5 + n * 5) + 24 = -2n + -8 (20 + 5n) + 24 = -2n + -8 Reorder the terms: 20 + 24 + 5n = -2n + -8 Combine like terms: 20 + 24 = 44 44 + 5n = -2n + -8 Reorder the terms: 44 + 5n = -8 + -2n Solving 44 + 5n = -8 + -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. 44 + 5n + 2n = -8 + -2n + 2n Combine like terms: 5n + 2n = 7n 44 + 7n = -8 + -2n + 2n Combine like terms: -2n + 2n = 0 44 + 7n = -8 + 0 44 + 7n = -8 Add '-44' to each side of the equation. 44 + -44 + 7n = -8 + -44 Combine like terms: 44 + -44 = 0 0 + 7n = -8 + -44 7n = -8 + -44 Combine like terms: -8 + -44 = -52 7n = -52 Divide each side by '7'. n = -7.428571429 Simplifying n = -7.428571429
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