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Simplifying 3.8 = 0.5(8n + -46) Reorder the terms: 3.8 = 0.5(-46 + 8n) 3.8 = (-46 * 0.5 + 8n * 0.5) 3.8 = (-23 + 4n) Solving 3.8 = -23 + 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. 3.8 + -4n = -23 + 4n + -4n Combine like terms: 4n + -4n = 0 3.8 + -4n = -23 + 0 3.8 + -4n = -23 Add '-3.8' to each side of the equation. 3.8 + -3.8 + -4n = -23 + -3.8 Combine like terms: 3.8 + -3.8 = 0.0 0.0 + -4n = -23 + -3.8 -4n = -23 + -3.8 Combine like terms: -23 + -3.8 = -26.8 -4n = -26.8 Divide each side by '-4'. n = 6.7 Simplifying n = 6.7
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