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Simplifying 3.8n + -14 = 1.4n + 5 Reorder the terms: -14 + 3.8n = 1.4n + 5 Reorder the terms: -14 + 3.8n = 5 + 1.4n Solving -14 + 3.8n = 5 + 1.4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1.4n' to each side of the equation. -14 + 3.8n + -1.4n = 5 + 1.4n + -1.4n Combine like terms: 3.8n + -1.4n = 2.4n -14 + 2.4n = 5 + 1.4n + -1.4n Combine like terms: 1.4n + -1.4n = 0.0 -14 + 2.4n = 5 + 0.0 -14 + 2.4n = 5 Add '14' to each side of the equation. -14 + 14 + 2.4n = 5 + 14 Combine like terms: -14 + 14 = 0 0 + 2.4n = 5 + 14 2.4n = 5 + 14 Combine like terms: 5 + 14 = 19 2.4n = 19 Divide each side by '2.4'. n = 7.916666667 Simplifying n = 7.916666667
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