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Simplifying 8(n + 1) + -3 = -51 Reorder the terms: 8(1 + n) + -3 = -51 (1 * 8 + n * 8) + -3 = -51 (8 + 8n) + -3 = -51 Reorder the terms: 8 + -3 + 8n = -51 Combine like terms: 8 + -3 = 5 5 + 8n = -51 Solving 5 + 8n = -51 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 8n = -51 + -5 Combine like terms: 5 + -5 = 0 0 + 8n = -51 + -5 8n = -51 + -5 Combine like terms: -51 + -5 = -56 8n = -56 Divide each side by '8'. n = -7 Simplifying n = -7
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