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Simplifying 8 + 12n + -5 = 8n + 21 + -5n Reorder the terms: 8 + -5 + 12n = 8n + 21 + -5n Combine like terms: 8 + -5 = 3 3 + 12n = 8n + 21 + -5n Reorder the terms: 3 + 12n = 21 + 8n + -5n Combine like terms: 8n + -5n = 3n 3 + 12n = 21 + 3n Solving 3 + 12n = 21 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 3 + 12n + -3n = 21 + 3n + -3n Combine like terms: 12n + -3n = 9n 3 + 9n = 21 + 3n + -3n Combine like terms: 3n + -3n = 0 3 + 9n = 21 + 0 3 + 9n = 21 Add '-3' to each side of the equation. 3 + -3 + 9n = 21 + -3 Combine like terms: 3 + -3 = 0 0 + 9n = 21 + -3 9n = 21 + -3 Combine like terms: 21 + -3 = 18 9n = 18 Divide each side by '9'. n = 2 Simplifying n = 2
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