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Simplifying 6(7n + -5) = 38 + 8n Reorder the terms: 6(-5 + 7n) = 38 + 8n (-5 * 6 + 7n * 6) = 38 + 8n (-30 + 42n) = 38 + 8n Solving -30 + 42n = 38 + 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 + 42n + -8n = 38 + 8n + -8n Combine like terms: 42n + -8n = 34n -30 + 34n = 38 + 8n + -8n Combine like terms: 8n + -8n = 0 -30 + 34n = 38 + 0 -30 + 34n = 38 Add '30' to each side of the equation. -30 + 30 + 34n = 38 + 30 Combine like terms: -30 + 30 = 0 0 + 34n = 38 + 30 34n = 38 + 30 Combine like terms: 38 + 30 = 68 34n = 68 Divide each side by '34'. n = 2 Simplifying n = 2
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