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Simplifying 34 = -9 + 8(n + 4) Reorder the terms: 34 = -9 + 8(4 + n) 34 = -9 + (4 * 8 + n * 8) 34 = -9 + (32 + 8n) Combine like terms: -9 + 32 = 23 34 = 23 + 8n Solving 34 = 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. 34 + -8n = 23 + 8n + -8n Combine like terms: 8n + -8n = 0 34 + -8n = 23 + 0 34 + -8n = 23 Add '-34' to each side of the equation. 34 + -34 + -8n = 23 + -34 Combine like terms: 34 + -34 = 0 0 + -8n = 23 + -34 -8n = 23 + -34 Combine like terms: 23 + -34 = -11 -8n = -11 Divide each side by '-8'. n = 1.375 Simplifying n = 1.375
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