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Simplifying 3(n + 10) = 8n Reorder the terms: 3(10 + n) = 8n (10 * 3 + n * 3) = 8n (30 + 3n) = 8n Solving 30 + 3n = 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. 30 + 3n + -8n = 8n + -8n Combine like terms: 3n + -8n = -5n 30 + -5n = 8n + -8n Combine like terms: 8n + -8n = 0 30 + -5n = 0 Add '-30' to each side of the equation. 30 + -30 + -5n = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -5n = 0 + -30 -5n = 0 + -30 Combine like terms: 0 + -30 = -30 -5n = -30 Divide each side by '-5'. n = 6 Simplifying n = 6
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