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Simplifying 5(2 + 6n) = -34 + 8n (2 * 5 + 6n * 5) = -34 + 8n (10 + 30n) = -34 + 8n Solving 10 + 30n = -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. 10 + 30n + -8n = -34 + 8n + -8n Combine like terms: 30n + -8n = 22n 10 + 22n = -34 + 8n + -8n Combine like terms: 8n + -8n = 0 10 + 22n = -34 + 0 10 + 22n = -34 Add '-10' to each side of the equation. 10 + -10 + 22n = -34 + -10 Combine like terms: 10 + -10 = 0 0 + 22n = -34 + -10 22n = -34 + -10 Combine like terms: -34 + -10 = -44 22n = -44 Divide each side by '22'. n = -2 Simplifying n = -2
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