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Simplifying -6 + 8(5 + 4n) = 8n + -38 -6 + (5 * 8 + 4n * 8) = 8n + -38 -6 + (40 + 32n) = 8n + -38 Combine like terms: -6 + 40 = 34 34 + 32n = 8n + -38 Reorder the terms: 34 + 32n = -38 + 8n Solving 34 + 32n = -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. 34 + 32n + -8n = -38 + 8n + -8n Combine like terms: 32n + -8n = 24n 34 + 24n = -38 + 8n + -8n Combine like terms: 8n + -8n = 0 34 + 24n = -38 + 0 34 + 24n = -38 Add '-34' to each side of the equation. 34 + -34 + 24n = -38 + -34 Combine like terms: 34 + -34 = 0 0 + 24n = -38 + -34 24n = -38 + -34 Combine like terms: -38 + -34 = -72 24n = -72 Divide each side by '24'. n = -3 Simplifying n = -3
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