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Simplifying 0.5(8n + -4.6) = 3.8 Reorder the terms: 0.5(-4.6 + 8n) = 3.8 (-4.6 * 0.5 + 8n * 0.5) = 3.8 (-2.3 + 4n) = 3.8 Solving -2.3 + 4n = 3.8 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2.3' to each side of the equation. -2.3 + 2.3 + 4n = 3.8 + 2.3 Combine like terms: -2.3 + 2.3 = 0.0 0.0 + 4n = 3.8 + 2.3 4n = 3.8 + 2.3 Combine like terms: 3.8 + 2.3 = 6.1 4n = 6.1 Divide each side by '4'. n = 1.525 Simplifying n = 1.525
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