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Simplifying 15 = 0.5(8n + 14) + -27 Reorder the terms: 15 = 0.5(14 + 8n) + -27 15 = (14 * 0.5 + 8n * 0.5) + -27 15 = (7 + 4n) + -27 Reorder the terms: 15 = 7 + -27 + 4n Combine like terms: 7 + -27 = -20 15 = -20 + 4n Solving 15 = -20 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 15 + -4n = -20 + 4n + -4n Combine like terms: 4n + -4n = 0 15 + -4n = -20 + 0 15 + -4n = -20 Add '-15' to each side of the equation. 15 + -15 + -4n = -20 + -15 Combine like terms: 15 + -15 = 0 0 + -4n = -20 + -15 -4n = -20 + -15 Combine like terms: -20 + -15 = -35 -4n = -35 Divide each side by '-4'. n = 8.75 Simplifying n = 8.75
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