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Simplifying 1 + 3n = 0.8n + 12 Reorder the terms: 1 + 3n = 12 + 0.8n Solving 1 + 3n = 12 + 0.8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-0.8n' to each side of the equation. 1 + 3n + -0.8n = 12 + 0.8n + -0.8n Combine like terms: 3n + -0.8n = 2.2n 1 + 2.2n = 12 + 0.8n + -0.8n Combine like terms: 0.8n + -0.8n = 0.0 1 + 2.2n = 12 + 0.0 1 + 2.2n = 12 Add '-1' to each side of the equation. 1 + -1 + 2.2n = 12 + -1 Combine like terms: 1 + -1 = 0 0 + 2.2n = 12 + -1 2.2n = 12 + -1 Combine like terms: 12 + -1 = 11 2.2n = 11 Divide each side by '2.2'. n = 5 Simplifying n = 5
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