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Simplifying 3.8n + -13 = 0.4n + 5 Reorder the terms: -13 + 3.8n = 0.4n + 5 Reorder the terms: -13 + 3.8n = 5 + 0.4n Solving -13 + 3.8n = 5 + 0.4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-0.4n' to each side of the equation. -13 + 3.8n + -0.4n = 5 + 0.4n + -0.4n Combine like terms: 3.8n + -0.4n = 3.4n -13 + 3.4n = 5 + 0.4n + -0.4n Combine like terms: 0.4n + -0.4n = 0.0 -13 + 3.4n = 5 + 0.0 -13 + 3.4n = 5 Add '13' to each side of the equation. -13 + 13 + 3.4n = 5 + 13 Combine like terms: -13 + 13 = 0 0 + 3.4n = 5 + 13 3.4n = 5 + 13 Combine like terms: 5 + 13 = 18 3.4n = 18 Divide each side by '3.4'. n = 5.294117647 Simplifying n = 5.294117647
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