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Simplifying 8n + 9 = 2(n + 3) + 3n Reorder the terms: 9 + 8n = 2(n + 3) + 3n Reorder the terms: 9 + 8n = 2(3 + n) + 3n 9 + 8n = (3 * 2 + n * 2) + 3n 9 + 8n = (6 + 2n) + 3n Combine like terms: 2n + 3n = 5n 9 + 8n = 6 + 5n Solving 9 + 8n = 6 + 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. 9 + 8n + -5n = 6 + 5n + -5n Combine like terms: 8n + -5n = 3n 9 + 3n = 6 + 5n + -5n Combine like terms: 5n + -5n = 0 9 + 3n = 6 + 0 9 + 3n = 6 Add '-9' to each side of the equation. 9 + -9 + 3n = 6 + -9 Combine like terms: 9 + -9 = 0 0 + 3n = 6 + -9 3n = 6 + -9 Combine like terms: 6 + -9 = -3 3n = -3 Divide each side by '3'. n = -1 Simplifying n = -1
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