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Simplifying 3.8n + -13 = 14.4n + 5 Reorder the terms: -13 + 3.8n = 14.4n + 5 Reorder the terms: -13 + 3.8n = 5 + 14.4n Solving -13 + 3.8n = 5 + 14.4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-14.4n' to each side of the equation. -13 + 3.8n + -14.4n = 5 + 14.4n + -14.4n Combine like terms: 3.8n + -14.4n = -10.6n -13 + -10.6n = 5 + 14.4n + -14.4n Combine like terms: 14.4n + -14.4n = 0.0 -13 + -10.6n = 5 + 0.0 -13 + -10.6n = 5 Add '13' to each side of the equation. -13 + 13 + -10.6n = 5 + 13 Combine like terms: -13 + 13 = 0 0 + -10.6n = 5 + 13 -10.6n = 5 + 13 Combine like terms: 5 + 13 = 18 -10.6n = 18 Divide each side by '-10.6'. n = -1.698113208 Simplifying n = -1.698113208
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