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Simplifying 7(2n + 1) = 8n + -23 Reorder the terms: 7(1 + 2n) = 8n + -23 (1 * 7 + 2n * 7) = 8n + -23 (7 + 14n) = 8n + -23 Reorder the terms: 7 + 14n = -23 + 8n Solving 7 + 14n = -23 + 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. 7 + 14n + -8n = -23 + 8n + -8n Combine like terms: 14n + -8n = 6n 7 + 6n = -23 + 8n + -8n Combine like terms: 8n + -8n = 0 7 + 6n = -23 + 0 7 + 6n = -23 Add '-7' to each side of the equation. 7 + -7 + 6n = -23 + -7 Combine like terms: 7 + -7 = 0 0 + 6n = -23 + -7 6n = -23 + -7 Combine like terms: -23 + -7 = -30 6n = -30 Divide each side by '6'. n = -5 Simplifying n = -5
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