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Simplifying 7(n + 4) + 32 = -5n + -8 Reorder the terms: 7(4 + n) + 32 = -5n + -8 (4 * 7 + n * 7) + 32 = -5n + -8 (28 + 7n) + 32 = -5n + -8 Reorder the terms: 28 + 32 + 7n = -5n + -8 Combine like terms: 28 + 32 = 60 60 + 7n = -5n + -8 Reorder the terms: 60 + 7n = -8 + -5n Solving 60 + 7n = -8 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. 60 + 7n + 5n = -8 + -5n + 5n Combine like terms: 7n + 5n = 12n 60 + 12n = -8 + -5n + 5n Combine like terms: -5n + 5n = 0 60 + 12n = -8 + 0 60 + 12n = -8 Add '-60' to each side of the equation. 60 + -60 + 12n = -8 + -60 Combine like terms: 60 + -60 = 0 0 + 12n = -8 + -60 12n = -8 + -60 Combine like terms: -8 + -60 = -68 12n = -68 Divide each side by '12'. n = -5.666666667 Simplifying n = -5.666666667
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