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Simplifying 8n + -14 = -38 + 5n Reorder the terms: -14 + 8n = -38 + 5n Solving -14 + 8n = -38 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -14 + 8n + -5n = -38 + 5n + -5n Combine like terms: 8n + -5n = 3n -14 + 3n = -38 + 5n + -5n Combine like terms: 5n + -5n = 0 -14 + 3n = -38 + 0 -14 + 3n = -38 Add '14' to each side of the equation. -14 + 14 + 3n = -38 + 14 Combine like terms: -14 + 14 = 0 0 + 3n = -38 + 14 3n = -38 + 14 Combine like terms: -38 + 14 = -24 3n = -24 Divide each side by '3'. n = -8 Simplifying n = -8
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