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Simplifying 5(8n + -1) = -39 + 6n Reorder the terms: 5(-1 + 8n) = -39 + 6n (-1 * 5 + 8n * 5) = -39 + 6n (-5 + 40n) = -39 + 6n Solving -5 + 40n = -39 + 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. -5 + 40n + -6n = -39 + 6n + -6n Combine like terms: 40n + -6n = 34n -5 + 34n = -39 + 6n + -6n Combine like terms: 6n + -6n = 0 -5 + 34n = -39 + 0 -5 + 34n = -39 Add '5' to each side of the equation. -5 + 5 + 34n = -39 + 5 Combine like terms: -5 + 5 = 0 0 + 34n = -39 + 5 34n = -39 + 5 Combine like terms: -39 + 5 = -34 34n = -34 Divide each side by '34'. n = -1 Simplifying n = -1
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