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Simplifying 3(n + 4) + 8 = 0.5n Reorder the terms: 3(4 + n) + 8 = 0.5n (4 * 3 + n * 3) + 8 = 0.5n (12 + 3n) + 8 = 0.5n Reorder the terms: 12 + 8 + 3n = 0.5n Combine like terms: 12 + 8 = 20 20 + 3n = 0.5n Solving 20 + 3n = 0.5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-0.5n' to each side of the equation. 20 + 3n + -0.5n = 0.5n + -0.5n Combine like terms: 3n + -0.5n = 2.5n 20 + 2.5n = 0.5n + -0.5n Combine like terms: 0.5n + -0.5n = 0.0 20 + 2.5n = 0.0 Add '-20' to each side of the equation. 20 + -20 + 2.5n = 0.0 + -20 Combine like terms: 20 + -20 = 0 0 + 2.5n = 0.0 + -20 2.5n = 0.0 + -20 Combine like terms: 0.0 + -20 = -20 2.5n = -20 Divide each side by '2.5'. n = -8 Simplifying n = -8
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