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Simplifying 5(8n + -6) = 6n + 38 Reorder the terms: 5(-6 + 8n) = 6n + 38 (-6 * 5 + 8n * 5) = 6n + 38 (-30 + 40n) = 6n + 38 Reorder the terms: -30 + 40n = 38 + 6n Solving -30 + 40n = 38 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -30 + 40n + -6n = 38 + 6n + -6n Combine like terms: 40n + -6n = 34n -30 + 34n = 38 + 6n + -6n Combine like terms: 6n + -6n = 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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