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Simplifying 3(n + 7) = 8n + -9 Reorder the terms: 3(7 + n) = 8n + -9 (7 * 3 + n * 3) = 8n + -9 (21 + 3n) = 8n + -9 Reorder the terms: 21 + 3n = -9 + 8n Solving 21 + 3n = -9 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. 21 + 3n + -8n = -9 + 8n + -8n Combine like terms: 3n + -8n = -5n 21 + -5n = -9 + 8n + -8n Combine like terms: 8n + -8n = 0 21 + -5n = -9 + 0 21 + -5n = -9 Add '-21' to each side of the equation. 21 + -21 + -5n = -9 + -21 Combine like terms: 21 + -21 = 0 0 + -5n = -9 + -21 -5n = -9 + -21 Combine like terms: -9 + -21 = -30 -5n = -30 Divide each side by '-5'. n = 6 Simplifying n = 6
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