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Simplifying 3n + -14 = 22 + -5n Reorder the terms: -14 + 3n = 22 + -5n Solving -14 + 3n = 22 + -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 + 3n + 5n = 22 + -5n + 5n Combine like terms: 3n + 5n = 8n -14 + 8n = 22 + -5n + 5n Combine like terms: -5n + 5n = 0 -14 + 8n = 22 + 0 -14 + 8n = 22 Add '14' to each side of the equation. -14 + 14 + 8n = 22 + 14 Combine like terms: -14 + 14 = 0 0 + 8n = 22 + 14 8n = 22 + 14 Combine like terms: 22 + 14 = 36 8n = 36 Divide each side by '8'. n = 4.5 Simplifying n = 4.5
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