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Simplifying 8(n + 1) + -1 = 3(8 + 3n) + -3 Reorder the terms: 8(1 + n) + -1 = 3(8 + 3n) + -3 (1 * 8 + n * 8) + -1 = 3(8 + 3n) + -3 (8 + 8n) + -1 = 3(8 + 3n) + -3 Reorder the terms: 8 + -1 + 8n = 3(8 + 3n) + -3 Combine like terms: 8 + -1 = 7 7 + 8n = 3(8 + 3n) + -3 7 + 8n = (8 * 3 + 3n * 3) + -3 7 + 8n = (24 + 9n) + -3 Reorder the terms: 7 + 8n = 24 + -3 + 9n Combine like terms: 24 + -3 = 21 7 + 8n = 21 + 9n Solving 7 + 8n = 21 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. 7 + 8n + -9n = 21 + 9n + -9n Combine like terms: 8n + -9n = -1n 7 + -1n = 21 + 9n + -9n Combine like terms: 9n + -9n = 0 7 + -1n = 21 + 0 7 + -1n = 21 Add '-7' to each side of the equation. 7 + -7 + -1n = 21 + -7 Combine like terms: 7 + -7 = 0 0 + -1n = 21 + -7 -1n = 21 + -7 Combine like terms: 21 + -7 = 14 -1n = 14 Divide each side by '-1'. n = -14 Simplifying n = -14
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