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Simplifying 3.8n + 13 = 1.4n + 5 Reorder the terms: 13 + 3.8n = 1.4n + 5 Reorder the terms: 13 + 3.8n = 5 + 1.4n Solving 13 + 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. 13 + 3.8n + -1.4n = 5 + 1.4n + -1.4n Combine like terms: 3.8n + -1.4n = 2.4n 13 + 2.4n = 5 + 1.4n + -1.4n Combine like terms: 1.4n + -1.4n = 0.0 13 + 2.4n = 5 + 0.0 13 + 2.4n = 5 Add '-13' to each side of the equation. 13 + -13 + 2.4n = 5 + -13 Combine like terms: 13 + -13 = 0 0 + 2.4n = 5 + -13 2.4n = 5 + -13 Combine like terms: 5 + -13 = -8 2.4n = -8 Divide each side by '2.4'. n = -3.333333333 Simplifying n = -3.333333333
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