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Simplifying 1.2(4n + 6) = 0.6(n + 68) Reorder the terms: 1.2(6 + 4n) = 0.6(n + 68) (6 * 1.2 + 4n * 1.2) = 0.6(n + 68) (7.2 + 4.8n) = 0.6(n + 68) Reorder the terms: 7.2 + 4.8n = 0.6(68 + n) 7.2 + 4.8n = (68 * 0.6 + n * 0.6) 7.2 + 4.8n = (40.8 + 0.6n) Solving 7.2 + 4.8n = 40.8 + 0.6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-0.6n' to each side of the equation. 7.2 + 4.8n + -0.6n = 40.8 + 0.6n + -0.6n Combine like terms: 4.8n + -0.6n = 4.2n 7.2 + 4.2n = 40.8 + 0.6n + -0.6n Combine like terms: 0.6n + -0.6n = 0.0 7.2 + 4.2n = 40.8 + 0.0 7.2 + 4.2n = 40.8 Add '-7.2' to each side of the equation. 7.2 + -7.2 + 4.2n = 40.8 + -7.2 Combine like terms: 7.2 + -7.2 = 0.0 0.0 + 4.2n = 40.8 + -7.2 4.2n = 40.8 + -7.2 Combine like terms: 40.8 + -7.2 = 33.6 4.2n = 33.6 Divide each side by '4.2'. n = 8 Simplifying n = 8
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