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Simplifying n + 2.3n + 3.9 = 1.8(n + -4.5) Reorder the terms: 3.9 + n + 2.3n = 1.8(n + -4.5) Combine like terms: n + 2.3n = 3.3n 3.9 + 3.3n = 1.8(n + -4.5) Reorder the terms: 3.9 + 3.3n = 1.8(-4.5 + n) 3.9 + 3.3n = (-4.5 * 1.8 + n * 1.8) 3.9 + 3.3n = (-8.1 + 1.8n) Solving 3.9 + 3.3n = -8.1 + 1.8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1.8n' to each side of the equation. 3.9 + 3.3n + -1.8n = -8.1 + 1.8n + -1.8n Combine like terms: 3.3n + -1.8n = 1.5n 3.9 + 1.5n = -8.1 + 1.8n + -1.8n Combine like terms: 1.8n + -1.8n = 0.0 3.9 + 1.5n = -8.1 + 0.0 3.9 + 1.5n = -8.1 Add '-3.9' to each side of the equation. 3.9 + -3.9 + 1.5n = -8.1 + -3.9 Combine like terms: 3.9 + -3.9 = 0.0 0.0 + 1.5n = -8.1 + -3.9 1.5n = -8.1 + -3.9 Combine like terms: -8.1 + -3.9 = -12 1.5n = -12 Divide each side by '1.5'. n = -8 Simplifying n = -8
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