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Simplifying 0.6(8n + -4) = 0.4(7 + -6n) + 3 Reorder the terms: 0.6(-4 + 8n) = 0.4(7 + -6n) + 3 (-4 * 0.6 + 8n * 0.6) = 0.4(7 + -6n) + 3 (-2.4 + 4.8n) = 0.4(7 + -6n) + 3 -2.4 + 4.8n = (7 * 0.4 + -6n * 0.4) + 3 -2.4 + 4.8n = (2.8 + -2.4n) + 3 Reorder the terms: -2.4 + 4.8n = 2.8 + 3 + -2.4n Combine like terms: 2.8 + 3 = 5.8 -2.4 + 4.8n = 5.8 + -2.4n Solving -2.4 + 4.8n = 5.8 + -2.4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2.4n' to each side of the equation. -2.4 + 4.8n + 2.4n = 5.8 + -2.4n + 2.4n Combine like terms: 4.8n + 2.4n = 7.2n -2.4 + 7.2n = 5.8 + -2.4n + 2.4n Combine like terms: -2.4n + 2.4n = 0.0 -2.4 + 7.2n = 5.8 + 0.0 -2.4 + 7.2n = 5.8 Add '2.4' to each side of the equation. -2.4 + 2.4 + 7.2n = 5.8 + 2.4 Combine like terms: -2.4 + 2.4 = 0.0 0.0 + 7.2n = 5.8 + 2.4 7.2n = 5.8 + 2.4 Combine like terms: 5.8 + 2.4 = 8.2 7.2n = 8.2 Divide each side by '7.2'. n = 1.138888889 Simplifying n = 1.138888889
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