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Simplifying 7.5n + 72 = 2.5(5n + 12) + 3n Reorder the terms: 72 + 7.5n = 2.5(5n + 12) + 3n Reorder the terms: 72 + 7.5n = 2.5(12 + 5n) + 3n 72 + 7.5n = (12 * 2.5 + 5n * 2.5) + 3n 72 + 7.5n = (30 + 12.5n) + 3n Combine like terms: 12.5n + 3n = 15.5n 72 + 7.5n = 30 + 15.5n Solving 72 + 7.5n = 30 + 15.5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-15.5n' to each side of the equation. 72 + 7.5n + -15.5n = 30 + 15.5n + -15.5n Combine like terms: 7.5n + -15.5n = -8n 72 + -8n = 30 + 15.5n + -15.5n Combine like terms: 15.5n + -15.5n = 0.0 72 + -8n = 30 + 0.0 72 + -8n = 30 Add '-72' to each side of the equation. 72 + -72 + -8n = 30 + -72 Combine like terms: 72 + -72 = 0 0 + -8n = 30 + -72 -8n = 30 + -72 Combine like terms: 30 + -72 = -42 -8n = -42 Divide each side by '-8'. n = 5.25 Simplifying n = 5.25
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