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Simplifying 2(7n + -5) = 20 + 8n Reorder the terms: 2(-5 + 7n) = 20 + 8n (-5 * 2 + 7n * 2) = 20 + 8n (-10 + 14n) = 20 + 8n Solving -10 + 14n = 20 + 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. -10 + 14n + -8n = 20 + 8n + -8n Combine like terms: 14n + -8n = 6n -10 + 6n = 20 + 8n + -8n Combine like terms: 8n + -8n = 0 -10 + 6n = 20 + 0 -10 + 6n = 20 Add '10' to each side of the equation. -10 + 10 + 6n = 20 + 10 Combine like terms: -10 + 10 = 0 0 + 6n = 20 + 10 6n = 20 + 10 Combine like terms: 20 + 10 = 30 6n = 30 Divide each side by '6'. n = 5 Simplifying n = 5
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