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Simplifying 3.8n + -13 = 1.4n + 7 Reorder the terms: -13 + 3.8n = 1.4n + 7 Reorder the terms: -13 + 3.8n = 7 + 1.4n Solving -13 + 3.8n = 7 + 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 = 7 + 1.4n + -1.4n Combine like terms: 3.8n + -1.4n = 2.4n -13 + 2.4n = 7 + 1.4n + -1.4n Combine like terms: 1.4n + -1.4n = 0.0 -13 + 2.4n = 7 + 0.0 -13 + 2.4n = 7 Add '13' to each side of the equation. -13 + 13 + 2.4n = 7 + 13 Combine like terms: -13 + 13 = 0 0 + 2.4n = 7 + 13 2.4n = 7 + 13 Combine like terms: 7 + 13 = 20 2.4n = 20 Divide each side by '2.4'. n = 8.333333333 Simplifying n = 8.333333333
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