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Simplifying 0.5(n + 8) + 12 = 40 Reorder the terms: 0.5(8 + n) + 12 = 40 (8 * 0.5 + n * 0.5) + 12 = 40 (4 + 0.5n) + 12 = 40 Reorder the terms: 4 + 12 + 0.5n = 40 Combine like terms: 4 + 12 = 16 16 + 0.5n = 40 Solving 16 + 0.5n = 40 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 0.5n = 40 + -16 Combine like terms: 16 + -16 = 0 0 + 0.5n = 40 + -16 0.5n = 40 + -16 Combine like terms: 40 + -16 = 24 0.5n = 24 Divide each side by '0.5'. n = 48 Simplifying n = 48
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