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Simplifying 8n + 12 + -5n = 22 Reorder the terms: 12 + 8n + -5n = 22 Combine like terms: 8n + -5n = 3n 12 + 3n = 22 Solving 12 + 3n = 22 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 3n = 22 + -12 Combine like terms: 12 + -12 = 0 0 + 3n = 22 + -12 3n = 22 + -12 Combine like terms: 22 + -12 = 10 3n = 10 Divide each side by '3'. n = 3.333333333 Simplifying n = 3.333333333
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