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Simplifying -2 + 8(4n + 5) = -34 + 8n Reorder the terms: -2 + 8(5 + 4n) = -34 + 8n -2 + (5 * 8 + 4n * 8) = -34 + 8n -2 + (40 + 32n) = -34 + 8n Combine like terms: -2 + 40 = 38 38 + 32n = -34 + 8n Solving 38 + 32n = -34 + 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. 38 + 32n + -8n = -34 + 8n + -8n Combine like terms: 32n + -8n = 24n 38 + 24n = -34 + 8n + -8n Combine like terms: 8n + -8n = 0 38 + 24n = -34 + 0 38 + 24n = -34 Add '-38' to each side of the equation. 38 + -38 + 24n = -34 + -38 Combine like terms: 38 + -38 = 0 0 + 24n = -34 + -38 24n = -34 + -38 Combine like terms: -34 + -38 = -72 24n = -72 Divide each side by '24'. n = -3 Simplifying n = -3
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