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Simplifying 3.8n + -23 = 1.4n + 5 Reorder the terms: -23 + 3.8n = 1.4n + 5 Reorder the terms: -23 + 3.8n = 5 + 1.4n Solving -23 + 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. -23 + 3.8n + -1.4n = 5 + 1.4n + -1.4n Combine like terms: 3.8n + -1.4n = 2.4n -23 + 2.4n = 5 + 1.4n + -1.4n Combine like terms: 1.4n + -1.4n = 0.0 -23 + 2.4n = 5 + 0.0 -23 + 2.4n = 5 Add '23' to each side of the equation. -23 + 23 + 2.4n = 5 + 23 Combine like terms: -23 + 23 = 0 0 + 2.4n = 5 + 23 2.4n = 5 + 23 Combine like terms: 5 + 23 = 28 2.4n = 28 Divide each side by '2.4'. n = 11.66666667 Simplifying n = 11.66666667
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