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Simplifying 5(7 + 8n) = 3n + -39 (7 * 5 + 8n * 5) = 3n + -39 (35 + 40n) = 3n + -39 Reorder the terms: 35 + 40n = -39 + 3n Solving 35 + 40n = -39 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 35 + 40n + -3n = -39 + 3n + -3n Combine like terms: 40n + -3n = 37n 35 + 37n = -39 + 3n + -3n Combine like terms: 3n + -3n = 0 35 + 37n = -39 + 0 35 + 37n = -39 Add '-35' to each side of the equation. 35 + -35 + 37n = -39 + -35 Combine like terms: 35 + -35 = 0 0 + 37n = -39 + -35 37n = -39 + -35 Combine like terms: -39 + -35 = -74 37n = -74 Divide each side by '37'. n = -2 Simplifying n = -2
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