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Simplifying 3.8n + -13 = 14n + 5 Reorder the terms: -13 + 3.8n = 14n + 5 Reorder the terms: -13 + 3.8n = 5 + 14n Solving -13 + 3.8n = 5 + 14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-14n' to each side of the equation. -13 + 3.8n + -14n = 5 + 14n + -14n Combine like terms: 3.8n + -14n = -10.2n -13 + -10.2n = 5 + 14n + -14n Combine like terms: 14n + -14n = 0 -13 + -10.2n = 5 + 0 -13 + -10.2n = 5 Add '13' to each side of the equation. -13 + 13 + -10.2n = 5 + 13 Combine like terms: -13 + 13 = 0 0 + -10.2n = 5 + 13 -10.2n = 5 + 13 Combine like terms: 5 + 13 = 18 -10.2n = 18 Divide each side by '-10.2'. n = -1.764705882 Simplifying n = -1.764705882
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