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Simplifying 3.8 = 0.5(8n + -4.60) Reorder the terms: 3.8 = 0.5(-4.60 + 8n) 3.8 = (-4.60 * 0.5 + 8n * 0.5) 3.8 = (-2.3 + 4n) Solving 3.8 = -2.3 + 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 = -2.3 + 4n + -4n Combine like terms: 4n + -4n = 0 3.8 + -4n = -2.3 + 0 3.8 + -4n = -2.3 Add '-3.8' to each side of the equation. 3.8 + -3.8 + -4n = -2.3 + -3.8 Combine like terms: 3.8 + -3.8 = 0.0 0.0 + -4n = -2.3 + -3.8 -4n = -2.3 + -3.8 Combine like terms: -2.3 + -3.8 = -6.1 -4n = -6.1 Divide each side by '-4'. n = 1.525 Simplifying n = 1.525
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